anonymous
  • anonymous
Basic calc question. I am given the derivative and the value of y at a given x value, can i find this?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
I know g(5)=-3 and g(5)'=6. I am asked to find the derivative of f(5). I am told f(x)=[g(x)]^3 . Is this capable of being solved, and if so how.
rational
  • rational
differentiate using chain rule
rational
  • rational
f(x) = [g(x)]^3 f'(x) = ?

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anonymous
  • anonymous
I guessed that but what is the derivative of a floating exponent. Im sorry if im typing slowly for some reason this site is killing my computer.
anonymous
  • anonymous
6*3*-3^2?
rational
  • rational
use this \[\frac{d}{dx}x^n ~=~n*x^{n-1}\]
anonymous
  • anonymous
Yeah thats like the first rule of differntation you learn, but does it still appy without a varible x?
rational
  • rational
variables are just dummy
rational
  • rational
\[\large \frac{d}{d\clubsuit} \clubsuit^n ~= ~n*\clubsuit^{n-1} \]
anonymous
  • anonymous
XD
anonymous
  • anonymous
S0 6*3*(-3)^2 would fit that or not?
rational
  • rational
\[ f(x) = [g(x)]^3\] \[f'(x) = 3*[g(x)]^{3-1} * \color{red}{g'(x)}\]
rational
  • rational
plugin \(x=5\)
rational
  • rational
6*3*(-3)^2 looks good!

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