   Chapter 11.4, Problem 47E 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.] r ( x ) = ( 2 x + 1 − x 2 ) − 1

To determine

To calculate: The derivative of the function r(x)=(2x+1x2)1.

Explanation

Given Information:

The provided function is r(x)=(2x+1x2)1.

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, r(x)=(2x+1x2)1

Apply the chain rule,

r(x)=1(2x+1x2)2ddx(2x+1x2)=1(2x+1x2)2(222x+12x)=1(2x+1x2)

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