anonymous
  • anonymous
HELP! who can explain derivatives :( let f(x)= (x^3+3x+8)^2 F'(x)= F'(2)=
Calculus1
  • Stacey Warren - Expert brainly.com
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
use the chain rule get \[F'(x)=2(x^2+3x+8)(3x^2+3)\]
anonymous
  • anonymous
I am very bad with derivatives. I missed the whole lesson de to being sick. can we start from the beginning?
anonymous
  • anonymous
how do we use the chain rule?

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anonymous
  • anonymous
you have something squared the derivative of something squared is two times something, times the derivative of something
anonymous
  • anonymous
for example, the derivative of \(\sin^2(x)\) is \(2\sin(x)\cos(x)\)
anonymous
  • anonymous
the derivative of \(x+\sqrt{x}+\tan(x))^2\) is \[2(x+\sqrt{x}+\tan(x))(1+\frac{1}{2\sqrt{x}}+\sec^2(x))\]
anonymous
  • anonymous
okay
anonymous
  • anonymous
so how do we begin this problem?
anonymous
  • anonymous
to find the derivative we need to place the exponent in front... correct?
anonymous
  • anonymous
is the derivative for f'(x) = 2X^2+6X+16?

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