   Chapter 11.4, Problem 42E Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203

Solutions

Chapter
Section Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203
Textbook Problem

In Exercises 1-50, calculate the derivate of the function. [HINT: See Example 1.] f ( x ) = [ ( 3 x − 1 ) 2 + ( 1 − x ) 5 ] 2

To determine

To calculate: The derivative of the function f(x)=[(3x1)2+(1x)5]2.

Explanation

Given Information:

The provided function is f(x)=[(3x1)2+(1x)5]2.

Formula used:

Derivative of function f(x)=(u)n using chain rule is

f(x)=ddx(u)n=nun1dudx,

Where, u is the function of x.

Calculation:

Consider the function, f(x)=[(3x1)2+(1x)5]2

Let (3x1)=u,(1x)=v

So, f(x)=[u2v5]2

Apply chain rule,

f(x)=ddxf(x)=[u2+v5]2=2[u2+v5][2ududx+5vd

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

28. Write the interval corresponding to .

Mathematical Applications for the Management, Life, and Social Sciences

Simplify each power of i. i43

Trigonometry (MindTap Course List)

For f(x) = ex x, f(x) = a) ex x b) ex 1 c) e1 x d) e1 1

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th 