Purchase Solution

Derivatives: Chain Rule

Not what you're looking for?

Ask 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

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.

Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

Probability Quiz

Some questions on probability

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.