# Derivatives: Chain Rule

Not what you're looking for?

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

##### Purchase this Solution

##### Solution Summary

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

##### Solution Preview

Please see the attached file for the complete solution.

Thanks for using BrainMass.

a)

Chain rule ...

##### Purchase this Solution

##### Free BrainMass Quizzes

##### Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.

##### Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

##### Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

##### Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

##### Probability Quiz

Some questions on probability