# Derivatives: Chain Rule

Not what you're looking for? Search our solutions OR ask your own Custom question.

Please see the attached file for the fully formatted problems.

For a composite function f(x) = g(u(x)) state the chain rule for the derivative f(x).

For each of the following functions, compute the derivative, simplifying your answers.

f(x)=ln(1 + x^2)

f(x)= sin(x^2)

f(x) = (sin x)^2

(a) For a composite function f(x) = g(ti(x)), state the chain rule for the derivative of f (x). For each of the following functions, compute the derivative, simplifying your answers:

(b) f(x) = in(1 + x2) (c) f(x) = sin(x2) (d) (x) = (sin x)2

https://brainmass.com/math/derivatives/derivatives-chain-rule-5312

#### Solution Preview

Please see the attached file for the complete solution.

Thanks for using BrainMass.

a)

Chain rule ...

#### Solution Summary

Derivatives are found using the Chain Rule. The composite functions for chain rules for The derivatives are given.

$2.49