Author Topic: Differtiation - Chain Rule  (Read 501 times)

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Offline Cookie-N

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Differtiation - Chain Rule
« on: February 04, 2014, 06:08:25 am »
Can someone explain that please? Tried searching online but I still have no clue how it works. Thanks!
KEK

Offline furrylifeguard

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Re: Differtiation - Chain Rule
« Reply #1 on: February 04, 2014, 07:52:51 am »
We actually just studied this last semester, so this might be helpful. The formula for the chain rule is: (u)^n --> n(u)^(n-1) (u')
What this means is that you start it like you would start a normal derivative: you take the exponent and move it to the front of the expression, and then subtract one from (n) and that becomes the new exponent. So, for example, if I were to take the equation y=(x-5)^3, I would start this problem by moving the 3 to the front, so it would look like 3(x-5), and then I would subtract 1 from 3, and get 2 as my new exponent, which would look like 3(x-5)^2. After that, you take the derivative of (u), which in this case would just be 1 (derivative of 5=0, derivative of x=1). So you'd multiply the entire thing by 1, 3(x-5)^2 (1).

Step-by-step:
y=(x-5)^3
[move exponent] 3(x-5)
[subtract and make new exponent] 3(x-5)^2
[multiply by drv. of inside] 3(x-5)^2 (1)
Y'=3(x-5)^2 (1)

I hope this helps. If you need more help, feel free to PM me and I'll help where I can.
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Offline NightF0x

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Re: Differtiation - Chain Rule
« Reply #2 on: February 04, 2014, 09:32:47 am »
(I had this in my calc binder in high school to remember chain rule :P)

Basically take an equation i.e sin(x^3). Then take the first derivative (f'(g(x))), cos(x^3), then multiply it by the derivative in the inside (g'(x)), then multiply them together. So the derivative of sin(x^3) would be 3*x^2*cos(x^3). If you need further help, pm me and I'll give you my skype. http://www.youtube.com/watch?v=XIQ-KnsAsbg Give this a watch as well. Khan Academy gives you the sweetest nectar known as knowledge. :P
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Offline Jethro

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Re: Differtiation - Chain Rule
« Reply #3 on: February 04, 2014, 09:57:13 am »
Private message me if you need help. I can work through problems and stuff.

Offline Cookie-N

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Re: Differtiation - Chain Rule
« Reply #4 on: February 04, 2014, 05:14:38 pm »
Thanks guys, I think I got it!
KEK