   Chapter 11.4, Problem 14E 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 ) = ( 2 x 3 + x ) − 2

To determine

To calculate: The derivative of the function f(x)=(2x3+x)2.

Explanation

Given Information:

The provided function is f(x)=(2x3+x)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 provided function f(x)=(2x3+x)2,

Let, (2x3+x)=u, so f(x)=(u)2.

Apply chain rule,

f(x)=ddx(u2)=(2)u21dudx=2u3dudx

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