Just found out that I'm not the only person I know that enjoys doing Mathematics, just for the fun and simplicity of it. Anyone here share these views? If so, feel free to sign up.
After today, I won't be able to post the names of people in this clan, until January, but I'll edit this post then, so feel free to discuss any mathematical topics, such as the Reeman Hypothesis, the extremely common use of Phi, and anything else that takes your fancy. lol I'll join in the discussions when I come back.
Merry Christmas. :santa:
Members:
Me obviously.
Members:
qcn
riceygirl
Stillarook
Freefallz
Corky
ham_let
hakseng.
I guess these people want to join, but please let me know if you don't. 'coz it is a bit nerdy.
Full Version: Mathematics Clan!
I bet you thought this was going to generate alot of replies since it's an Asian discussion board and all. 
Can anyone show me one geometric proof of AM>GM?
oh this is the nerdiest clan yet. imma go here for hwk help.
seeing as how i'm not getting any of the math this week. wth. >__>
seeing as how i'm not getting any of the math this week. wth. >__>
QUOTE (jd1478jd @ Dec 16 2005, 04:47 PM)
Just found out that I'm not the only person I know that enjoys doing Mathematics, just for the fun and simplicity of it. Anyone here share these views? If so, feel free to sign up.
After today, I won't be able to post the names of people in this clan, until January, but I'll edit this post then, so feel free to discuss any mathematical topics, such as the Reeman Hypothesis, the extremely common use of Phi, and anything else that takes your fancy. lol I'll join in the discussions when I come back.
Merry Christmas. :santa:
Members:
Me obviously.
After today, I won't be able to post the names of people in this clan, until January, but I'll edit this post then, so feel free to discuss any mathematical topics, such as the Reeman Hypothesis, the extremely common use of Phi, and anything else that takes your fancy. lol I'll join in the discussions when I come back.
Merry Christmas. :santa:
Members:
Me obviously.
ok i am a science teacher so i guess by proxy ...then again im irish and according to some comments made perhaps not welcome.....
Okay I came across this while i was browsing around.
Love letter
My Dear Love,
Yesterday, I was passing by your rectangular house in face, conical nose and spherical eyes, standing in your triangular garden. Before seeing you my heart was a null set, but when a vector of magnitude (likeness) from your eyes at a deviation of theta radians made a tangent to my heart, it differentiated.
My love for you is a quadratic equation with real roots, which only you can solve by making good binary relation with me. The cosine of my love for you extends to infinity. I promise that I should not resolve you into partial functions but if I do so, you can integrate me by applying the limits from zero to infinity.
You are as essential to me as an element to a set. The geometry of my life revolves around your acute personality. My love, if you do not meet me at parabola restaurant on date 10 at sunset when the sun is making an angle of 160 degrees, my heart would be like an unsolved polynomial of degree 10.
With love from your higher order derivatives of maxima and minima, of an unknown function.
Yours ever loving
Pythagoras
Love letter
My Dear Love,
Yesterday, I was passing by your rectangular house in face, conical nose and spherical eyes, standing in your triangular garden. Before seeing you my heart was a null set, but when a vector of magnitude (likeness) from your eyes at a deviation of theta radians made a tangent to my heart, it differentiated.
My love for you is a quadratic equation with real roots, which only you can solve by making good binary relation with me. The cosine of my love for you extends to infinity. I promise that I should not resolve you into partial functions but if I do so, you can integrate me by applying the limits from zero to infinity.
You are as essential to me as an element to a set. The geometry of my life revolves around your acute personality. My love, if you do not meet me at parabola restaurant on date 10 at sunset when the sun is making an angle of 160 degrees, my heart would be like an unsolved polynomial of degree 10.
With love from your higher order derivatives of maxima and minima, of an unknown function.
Yours ever loving
Pythagoras
Weapons of Math Instruction
At New York's Kennedy airport today, an individual later discovered to be a public school teacher was arrested trying to board a flight while in possession of a protractor, a T-square, a slide rule, and a calculator.
At a morning press conference, Attorney general John Ashcroft said he believes the man is a member of the notorious Al-gebra movement. The man is being charged by the FBI with carrying weapons of math instruction.
"Al-gebra is a fearsome cult," Ashcroft said. "They desire average solutions by means and extremes, and sometimes go off on tangents in a search for absolute value. They use secret code names like x and y and refer to themselves as unknowns, but we have determined they belong to a common denominator of the axis of medieval with coordinates in every country. As the Greek philanderer Isosceles used to say, there are 3 sides to every triangle," Ashcroft declared.
When asked to comment on the arrest, President Bush said, "If God had wanted us to have better weapons of math instruction, He would have given us more fingers and toes. I am gratified that our government has given us a sine that it is intent on protracting us from these math-dogs who are willing to dis-integrate us with calculus disregard. Murky statisticians love to inflict plane on every sphere of influence," the President said, adding: "Under the circumferences, we must differentiate their root, make our point, and draw the line."
President Bush warned, "These weapons of math instruction have the potential to decimal everything in their math on a scalene never before seen unless we become exponents of a Higher Power and begin to factor-in random facts of vertex."
Attorney General Ashcroft said, "As our Great Leader would say, read my ellipse. Here is one principle he is uncertainty of: though they continue to multiply, their days are numbered as the hypotenuse tightens around their necks."
At New York's Kennedy airport today, an individual later discovered to be a public school teacher was arrested trying to board a flight while in possession of a protractor, a T-square, a slide rule, and a calculator.
At a morning press conference, Attorney general John Ashcroft said he believes the man is a member of the notorious Al-gebra movement. The man is being charged by the FBI with carrying weapons of math instruction.
"Al-gebra is a fearsome cult," Ashcroft said. "They desire average solutions by means and extremes, and sometimes go off on tangents in a search for absolute value. They use secret code names like x and y and refer to themselves as unknowns, but we have determined they belong to a common denominator of the axis of medieval with coordinates in every country. As the Greek philanderer Isosceles used to say, there are 3 sides to every triangle," Ashcroft declared.
When asked to comment on the arrest, President Bush said, "If God had wanted us to have better weapons of math instruction, He would have given us more fingers and toes. I am gratified that our government has given us a sine that it is intent on protracting us from these math-dogs who are willing to dis-integrate us with calculus disregard. Murky statisticians love to inflict plane on every sphere of influence," the President said, adding: "Under the circumferences, we must differentiate their root, make our point, and draw the line."
President Bush warned, "These weapons of math instruction have the potential to decimal everything in their math on a scalene never before seen unless we become exponents of a Higher Power and begin to factor-in random facts of vertex."
Attorney General Ashcroft said, "As our Great Leader would say, read my ellipse. Here is one principle he is uncertainty of: though they continue to multiply, their days are numbered as the hypotenuse tightens around their necks."
QUOTE (freefallz @ Dec 18 2005, 02:48 AM)
Okay I came across this while i was browsing around.
Love letter
My Dear Love,
Yesterday, I was passing by your rectangular house in face, conical nose and spherical eyes, standing in your triangular garden. Before seeing you my heart was a null set, but when a vector of magnitude (likeness) from your eyes at a deviation of theta radians made a tangent to my heart, it differentiated.
My love for you is a quadratic equation with real roots, which only you can solve by making good binary relation with me. The cosine of my love for you extends to infinity. I promise that I should not resolve you into partial functions but if I do so, you can integrate me by applying the limits from zero to infinity.
You are as essential to me as an element to a set. The geometry of my life revolves around your acute personality. My love, if you do not meet me at parabola restaurant on date 10 at sunset when the sun is making an angle of 160 degrees, my heart would be like an unsolved polynomial of degree 10.
With love from your higher order derivatives of maxima and minima, of an unknown function.
Yours ever loving
Pythagoras
Love letter
My Dear Love,
Yesterday, I was passing by your rectangular house in face, conical nose and spherical eyes, standing in your triangular garden. Before seeing you my heart was a null set, but when a vector of magnitude (likeness) from your eyes at a deviation of theta radians made a tangent to my heart, it differentiated.
My love for you is a quadratic equation with real roots, which only you can solve by making good binary relation with me. The cosine of my love for you extends to infinity. I promise that I should not resolve you into partial functions but if I do so, you can integrate me by applying the limits from zero to infinity.
You are as essential to me as an element to a set. The geometry of my life revolves around your acute personality. My love, if you do not meet me at parabola restaurant on date 10 at sunset when the sun is making an angle of 160 degrees, my heart would be like an unsolved polynomial of degree 10.
With love from your higher order derivatives of maxima and minima, of an unknown function.
Yours ever loving
Pythagoras
beautiful...
Can I be the "official opposition" to the clan? Cuz I'm well qualified... I'd been failing math ever since the fourth grade. 
@Corky; Of course you are welcome. What comments were made earlier? Just so you know, I'm half Irish, and any remarks against our heritage wouldnot be tolerated in this clan. (Unless of course they are FUNNY Irish jokes)
@Zelnom; Hillarious, but we must remember that as I know the al-gebra's weakness, destroying them would be easy as pi. Let's just pray that they don't create some horrible monster by mixing quadratic functions with simultaneous equations.
May the Lord help us.
@RedStarOverChina; You have arrived at a crossroads in your life, do you choose to become a nemesis to the Mathematical world? Or do you follow blindly in the teachiings of Mathematics?2 (NOBODY, point out that this is more like a T-junction.)
@Freefallz; Briliant mate, would have liked to have seen Phi somewhere in there, but hey that's life.
Are you guys in? Please let me know by saying so.
@Zelnom; Hillarious, but we must remember that as I know the al-gebra's weakness, destroying them would be easy as pi. Let's just pray that they don't create some horrible monster by mixing quadratic functions with simultaneous equations.
May the Lord help us.@RedStarOverChina; You have arrived at a crossroads in your life, do you choose to become a nemesis to the Mathematical world? Or do you follow blindly in the teachiings of Mathematics?
2 (NOBODY, point out that this is more like a T-junction.)@Freefallz; Briliant mate, would have liked to have seen Phi somewhere in there, but hey that's life.
Are you guys in? Please let me know by saying so.
i got 17/27 on a math quiz today. 
I thought math was fun until I got to university
It's even more fun when you realize you can solve things the profs cannot. 
We got some un-asian Asian people here 
I <3 Math
I <3 Math
i wanna join for fun
QUOTE (hakseng @ Dec 21 2005, 02:53 AM)
I thought math was fun until I got to university
agreement there!! i love teaching mathematics but the truly gifted kids and i have encountered but onedemand univeristy level math and so i had to go back and look at univeristy notes i made......i realised two things doing this
1) i didnt understand squat back then
2) i wasted waaaaaaaaaaaay to much lecture time sketching one girl
2
Heh, math is a nice release if you have too much stress. Sit yourself down with a bunch of raw math questions and escape reality. I always find myself at rest the most when I'm working on a mildly difficult math problem, not so easy that it's boring and repetitive, but not so hard that it's causing me a headache.
Norm
Norm
COOL!! Math is awesome*^^*..haha i can come here for calc help..*^^*
I'll join. I think I qualify just based on the fact that I had a math team jacket.
Editted my post with members names.
Yo Freefallz, what do AM and GM satnd for? I'll try my best mate, but I'm not making any promises.
Yo Freefallz, what do AM and GM satnd for? I'll try my best mate, but I'm not making any promises.
Here's a little, very simple question for you lot;
An article states that the Earth will always make a complete revolution every twenty four hours.
Please prove that in order for this to be correct, the Earth must rotate at 1/4 degrees per minute.
Here is a slightly harder question;
If a car brakes suddenly, there is a possibility that the vehicle will skid. Accident investigators use a formula in order to determine the velocity of the vehicle; v^2=Mu * D
Where D is the distance in metres of the skids that were made, and mu is the coefficient of friction between the tyres and the surface. (This value is variable, and entirely dependant on the surface of the road and the tyres used.)
In a 30mph speed zone, an accident occurs, and so causes skids of 28 metres in length. The investigators perform an experiment and find out that a car travelling at 10 metres per second, leaves skid marks of length 17.5 metres.
Use this data to find the value of mu. (Assume that the tyres used in the experiment were identical to those of the car in the accident.)
Also, find the velocity of the car (In mph) when the brakes were applied.
Assume that 1 mph = 0.447 metres per second.
Good luck!!
An article states that the Earth will always make a complete revolution every twenty four hours.
Please prove that in order for this to be correct, the Earth must rotate at 1/4 degrees per minute.
Here is a slightly harder question;
If a car brakes suddenly, there is a possibility that the vehicle will skid. Accident investigators use a formula in order to determine the velocity of the vehicle; v^2=Mu * D
Where D is the distance in metres of the skids that were made, and mu is the coefficient of friction between the tyres and the surface. (This value is variable, and entirely dependant on the surface of the road and the tyres used.)
In a 30mph speed zone, an accident occurs, and so causes skids of 28 metres in length. The investigators perform an experiment and find out that a car travelling at 10 metres per second, leaves skid marks of length 17.5 metres.
Use this data to find the value of mu. (Assume that the tyres used in the experiment were identical to those of the car in the accident.)
Also, find the velocity of the car (In mph) when the brakes were applied.
Assume that 1 mph = 0.447 metres per second.
Good luck!!
This is the type of thread that supports negative asian sterotypes.
QUOTE (jd1478jd @ Jan 6 2006, 08:03 AM)
Here's a little, very simple question for you lot;
An article states that the Earth will always make a complete revolution every twenty four hours.
Please prove that in order for this to be correct, the Earth must rotate at 1/4 degrees per minute.
Here is a slightly harder question;
If a car brakes suddenly, there is a possibility that the vehicle will skid. Accident investigators use a formula in order to determine the velocity of the vehicle; v^2=Mu * D
Where D is the distance in metres of the skids that were made, and mu is the coefficient of friction between the tyres and the surface. (This value is variable, and entirely dependant on the surface of the road and the tyres used.)
In a 30mph speed zone, an accident occurs, and so causes skids of 28 metres in length. The investigators perform an experiment and find out that a car travelling at 10 metres per second, leaves skid marks of length 17.5 metres.
Use this data to find the value of mu. (Assume that the tyres used in the experiment were identical to those of the car in the accident.)
Also, find the velocity of the car (In mph) when the brakes were applied.
Assume that 1 mph = 0.447 metres per second.
Good luck!!
An article states that the Earth will always make a complete revolution every twenty four hours.
Please prove that in order for this to be correct, the Earth must rotate at 1/4 degrees per minute.
Here is a slightly harder question;
If a car brakes suddenly, there is a possibility that the vehicle will skid. Accident investigators use a formula in order to determine the velocity of the vehicle; v^2=Mu * D
Where D is the distance in metres of the skids that were made, and mu is the coefficient of friction between the tyres and the surface. (This value is variable, and entirely dependant on the surface of the road and the tyres used.)
In a 30mph speed zone, an accident occurs, and so causes skids of 28 metres in length. The investigators perform an experiment and find out that a car travelling at 10 metres per second, leaves skid marks of length 17.5 metres.
Use this data to find the value of mu. (Assume that the tyres used in the experiment were identical to those of the car in the accident.)
Also, find the velocity of the car (In mph) when the brakes were applied.
Assume that 1 mph = 0.447 metres per second.
Good luck!!
please, i'm a middle schooler, not some math geek in a university
QUOTE (stillarook @ Jan 8 2006, 03:09 AM)
please, i'm a middle schooler, not some math geek in a university
I'll join.
You don't need to be in university to answer those questions
Question
An article states that the Earth will always make a complete revolution every twenty four hours.
Please prove that in order for this to be correct, the Earth must rotate at 1/4 degrees per minute.
My Solution
24 hours = 1440 minutes
Full rotation = 360 degrees
360/1440 = 0.25 degrees per minute
Question
If a car brakes suddenly, there is a possibility that the vehicle will skid. Accident investigators use a formula in order to determine the velocity of the vehicle; v^2=Mu * D
Where D is the distance in metres of the skids that were made, and mu is the coefficient of friction between the tyres and the surface. (This value is variable, and entirely dependant on the surface of the road and the tyres used.)
In a 30mph speed zone, an accident occurs, and so causes skids of 28 metres in length. The investigators perform an experiment and find out that a car travelling at 10 metres per second, leaves skid marks of length 17.5 metres.
Use this data to find the value of mu. (Assume that the tyres used in the experiment were identical to those of the car in the accident.)
Also, find the velocity of the car (In mph) when the brakes were applied.
Assume that 1 mph = 0.447 metres per second.
My Solution
v^2 = muD (mu is coefficient of friction)
10^2 = 17.5mu
100/17.5 = mu
therefore mu = 5.714 to 3 d.p.
Accident that takes place:
v^2 = 5.714*28
v^2 = 160 (using unshortened value of mu)
therefore v = 12.65 m/s to 2 d.p. which is 28.3 mph to 1 d.p.
Haven't checked it through, think it's ok though, might be some typos
ugh! i hate math.. LOL.. 
math is my worst nightmare!!!
math is my worst nightmare!!!
QUOTE (yee~hah @ Jan 8 2006, 10:31 AM)
ugh! i hate math.. LOL..
math is my worst nightmare!!!
math is my worst nightmare!!!
Me too, math is too complex.
^^ yeah... and all those math-know-it-alls are annoying...LOL.. just kidding.. but i wish that i was a math whiz....LOL..
Maths is only annoying if you can't see the root or escence of the puzzle, in exactly the same way as english is boring to us lot.
^ So what were the answers?
QUOTE (Takashi @ Jan 10 2006, 11:28 AM)
^ So what were the answers?
absolutely no idea at ALL.
QUOTE (Takashi @ Jan 8 2006, 04:27 PM)
I'll join.
You don't need to be in university to answer those questions
Question
An article states that the Earth will always make a complete revolution every twenty four hours.
Please prove that in order for this to be correct, the Earth must rotate at 1/4 degrees per minute.
My Solution
24 hours = 1440 minutes
Full rotation = 360 degrees
360/1440 = 0.25 degrees per minute
Question
If a car brakes suddenly, there is a possibility that the vehicle will skid. Accident investigators use a formula in order to determine the velocity of the vehicle; v^2=Mu * D
Where D is the distance in metres of the skids that were made, and mu is the coefficient of friction between the tyres and the surface. (This value is variable, and entirely dependant on the surface of the road and the tyres used.)
In a 30mph speed zone, an accident occurs, and so causes skids of 28 metres in length. The investigators perform an experiment and find out that a car travelling at 10 metres per second, leaves skid marks of length 17.5 metres.
Use this data to find the value of mu. (Assume that the tyres used in the experiment were identical to those of the car in the accident.)
Also, find the velocity of the car (In mph) when the brakes were applied.
Assume that 1 mph = 0.447 metres per second.
My Solution
v^2 = muD (mu is coefficient of friction)
10^2 = 17.5mu
100/17.5 = mu
therefore mu = 5.714 to 3 d.p.
Accident that takes place:
v^2 = 5.714*28
v^2 = 160 (using unshortened value of mu)
therefore v = 12.65 m/s to 2 d.p. which is 28.3 mph to 1 d.p.
Haven't checked it through, think it's ok though, might be some typos
You don't need to be in university to answer those questions
Question
An article states that the Earth will always make a complete revolution every twenty four hours.
Please prove that in order for this to be correct, the Earth must rotate at 1/4 degrees per minute.
My Solution
24 hours = 1440 minutes
Full rotation = 360 degrees
360/1440 = 0.25 degrees per minute
Question
If a car brakes suddenly, there is a possibility that the vehicle will skid. Accident investigators use a formula in order to determine the velocity of the vehicle; v^2=Mu * D
Where D is the distance in metres of the skids that were made, and mu is the coefficient of friction between the tyres and the surface. (This value is variable, and entirely dependant on the surface of the road and the tyres used.)
In a 30mph speed zone, an accident occurs, and so causes skids of 28 metres in length. The investigators perform an experiment and find out that a car travelling at 10 metres per second, leaves skid marks of length 17.5 metres.
Use this data to find the value of mu. (Assume that the tyres used in the experiment were identical to those of the car in the accident.)
Also, find the velocity of the car (In mph) when the brakes were applied.
Assume that 1 mph = 0.447 metres per second.
My Solution
v^2 = muD (mu is coefficient of friction)
10^2 = 17.5mu
100/17.5 = mu
therefore mu = 5.714 to 3 d.p.
Accident that takes place:
v^2 = 5.714*28
v^2 = 160 (using unshortened value of mu)
therefore v = 12.65 m/s to 2 d.p. which is 28.3 mph to 1 d.p.
Haven't checked it through, think it's ok though, might be some typos
10^2 = 20mu*d
Thus 100= 20 mu * 17.5
mu= 100/(20*17.5)= 100/350 =0.286 , which when rooted = 0.534 Very close mate. First one, perfect.
Obviously your value of mu would determine the answers to the rest of the question, but I got a value of v as 12.7 metres per second, so 12.7/0.447= 28.3
Well done.
QUOTE (yee~hah @ Jan 8 2006, 11:31 AM)
ugh! i hate math.. LOL..
math is my worst nightmare!!!
math is my worst nightmare!!!
u get use to it, trust me
QUOTE (jd1478jd @ Jan 12 2006, 12:25 PM)
10^2 = 20mu*d
Thus 100= 20 mu * 17.5
mu= 100/(20*17.5)= 100/350 =0.286 , which when rooted = 0.534 Very close mate. First one, perfect.
Obviously your value of mu would determine the answers to the rest of the question, but I got a value of v as 12.7 metres per second, so 12.7/0.447= 28.3
Well done.
Thus 100= 20 mu * 17.5
mu= 100/(20*17.5)= 100/350 =0.286 , which when rooted = 0.534 Very close mate. First one, perfect.
Obviously your value of mu would determine the answers to the rest of the question, but I got a value of v as 12.7 metres per second, so 12.7/0.447= 28.3
Well done.
Where did the 20 randomly come from?
Wow this thread is still alive.
Go the power of MATH!!!!
Okay just to keep the thread going here's a question:
What do you call a polygon with infinite sides?
Go the power of MATH!!!!
Okay just to keep the thread going here's a question:
What do you call a polygon with infinite sides?
doesn't exist does it?
What shape has infinite lines from its origin?
What shape has infinite lines from its origin?
^ a circle
zzZZzzz
zzZZ
This thread is missing some action.
zzZZ
This thread is missing some action.
freefallz, watch channel 10
how many squares? the guy said 28 was the closest answer sofar, i think thers 42
how many squares? the guy said 28 was the closest answer sofar, i think thers 42
QUOTE (Takashi @ Jan 12 2006, 05:29 PM)
Where did the 20 randomly come from?
Sorry mate, actually can't remember? I'll try to redo it, and see if I do the same (Mistake??) again.
2
You guys feel free to post any problems/debates here.
QUOTE (Takashi @ Jan 12 2006, 05:29 PM)
Where did the 20 randomly come from?
My mistake, it should be there, but I just forgot to type it in. Look on http://www.aqa.org.uk/qual/gceasonly/qp-ms...-W-QP-Jun04.pdf for the question.
http://www.aqa.org.uk/qual/gceasonly/qp-ms...-W-MS-Jun04.pdf for the working.
Laters man
QUOTE (IniTiaL V. @ Jan 18 2006, 08:30 AM)
freefallz, watch channel 10
how many squares? the guy said 28 was the closest answer sofar, i think thers 42
how many squares? the guy said 28 was the closest answer sofar, i think thers 42
Ah sorry missed it.
QUOTE (hakseng @ Dec 20 2005, 07:53 PM)
I thought math was fun until I got to university
So true!
now i'm just lost..i want to join this clan so i can literally learn to love maths again...someone help me with integration and differentiation please!!!
can i join this clan too??how do i join??
nerds
pfftt... Nerd wannabes....
QUOTE (teknique @ Feb 11 2006, 03:36 AM)
So true! now i'm just lost..i want to join this clan so i can literally learn to love maths again...someone help me with integration and differentiation please!!!
now i'm just lost..i want to join this clan so i can literally learn to love maths again...someone help me with integration and differentiation please!!! Don't forget your dy/dx. I can't help with integration, but I'm doing differentiation at the moment.
x^2+3x-7 = 2x+3
The general formula is; naX^n-1 Where n is the indice that x has been raised to, and a is the value that is multiplied to the x, such that a for 2x^3 = 2, so by placing into the formula, we get; 6x^2.
Further differentiation, follows exactly the same principle, using the values obtained in you initial differentiation. Such that further differentiation of the above would be; 12x. Once further differentiation has taken place it is no longer known as dy/dx, but d^2y/dx^2. Differentiation can also be written as f'(x), and further differention could be labelled as f''(x).
I hope I have helped.
Josh@forcespike 437; Consider yourself in. This clan welcomes any input from you, (In a mathematical sense obviously). Just post any questions, problems, or mathematical games. Cheers mate.
QUOTE (jd1478jd @ Feb 14 2006, 12:04 PM)
Don't forget your dy/dx. I can't help with integration, but I'm doing differentiation at the moment.
x^2+3x-7 = 2x+3
The general formula is; naX^n-1 Where n is the indice that x has been raised to, and a is the value that is multiplied to the x, such that a for 2x^3 = 2, so by placing into the formula, we get; 6x^2.
Further differentiation, follows exactly the same principle, using the values obtained in you initial differentiation. Such that further differentiation of the above would be; 12x. Once further differentiation has taken place it is no longer known as dy/dx, but d^2y/dx^2. Differentiation can also be written as f'(x), and further differention could be labelled as f''(x).
I hope I have helped. Josh
@forcespike 437; Consider yourself in. This clan welcomes any input from you, (In a mathematical sense obviously). Just post any questions, problems, or mathematical games. Cheers mate.
x^2+3x-7 = 2x+3
The general formula is; naX^n-1 Where n is the indice that x has been raised to, and a is the value that is multiplied to the x, such that a for 2x^3 = 2, so by placing into the formula, we get; 6x^2.
Further differentiation, follows exactly the same principle, using the values obtained in you initial differentiation. Such that further differentiation of the above would be; 12x. Once further differentiation has taken place it is no longer known as dy/dx, but d^2y/dx^2. Differentiation can also be written as f'(x), and further differention could be labelled as f''(x).
I hope I have helped.
Josh@forcespike 437; Consider yourself in. This clan welcomes any input from you, (In a mathematical sense obviously). Just post any questions, problems, or mathematical games. Cheers mate.
Thanks for that JD, yeh i understood naX^n-1...but how does that f'(x) and f''(x) work? i don't know how to use it..it's jargon to me...could you give me a simple example and explained solution to one please. I would appreciate that very much.
Differentiate f(x) and you get f'(x)
Differentiate f'(x) and you get f''(x)
The number of dashes indicates the number of derivatives as we call them.
f(x) with one dash is called the first derivative - f'(x)
f'(x) is known as the gradient function of f(x)
f(x) with two dashes is called the second derivative - f''(x)
f''(x) is known as the gradient function of f'(x)
In other words, after differentiation, one function is transformed to another function where the resulting function describes the first function's (the function before differentiation) rate of change. Thus arrives the name "gradient function".
Integration is opposite process of differentiation. The function that results from integration is the original function, of the prior derivative. Eg integrating f'(x) will get you f(x), integrating f''(x) will get you f'(x). There are also a set of rules to obey in integration, just like differentiation. On the whole, integration is understandably more complex and therefore, in most cases involve more thinking than differentation.
Differentiate f'(x) and you get f''(x)
The number of dashes indicates the number of derivatives as we call them.
f(x) with one dash is called the first derivative - f'(x)
f'(x) is known as the gradient function of f(x)
f(x) with two dashes is called the second derivative - f''(x)
f''(x) is known as the gradient function of f'(x)
In other words, after differentiation, one function is transformed to another function where the resulting function describes the first function's (the function before differentiation) rate of change. Thus arrives the name "gradient function".
Integration is opposite process of differentiation. The function that results from integration is the original function, of the prior derivative. Eg integrating f'(x) will get you f(x), integrating f''(x) will get you f'(x). There are also a set of rules to obey in integration, just like differentiation. On the whole, integration is understandably more complex and therefore, in most cases involve more thinking than differentation.
just seeing the word derivatives and integrals give me a headache...calculus is pretty fun if you get it, but really frustrating if you don't...
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