   Chapter 11.4, Problem 32E 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.] h ( x ) = ( 3.1 x 2 − 2 − 1 3.1 x − 2 ) 2

To determine

To calculate: The derivative of the function h(x)=[3.1x2213.1x2]2.

Explanation

Given Information:

The provided function is h(x)=[3.1x2213.1x2]2

Formula used:

Derivative of function f(x)=(u)n using chain rule is f'(x)=ddx(un)=nun1dudx, where u is the function of x.

Calculation:

Consider the function,

h(x)=[3.1x2213.1x2]2

Let, [3.1x2213.1x2]=u

So, h(x)=(u)2

Apply chain rule,

h'(x)=ddx(u2)=2ududx

Substitute u=[3.1x2213.1x2] and simplify,

h'(x)=2(3.1x2213.1x2)ddx(3.1x2213.1x2)

Solve ddx(3.1x2213

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