   Chapter 11.4, Problem 19E 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 ) = ( 0.1 x 2 − 4.2 x + 9.5 ) 1.5

To determine

To calculate: The derivative of the function r(x)=(0.1x24.2x+9.5)1.5.

Explanation

Given Information:

The provided function is r(x)=(0.1x24.2x+9.5)1.5.

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 provided function r(x)=(0.1x24.2x+9.5)1.5,

Let, (0.1x24.2x+9.5)=u, so r(x)=(u)1.5.

Apply chain rule,

r(x)=ddx(u1.5)=1.5u1.51dudx=1.5u0.5dudx

Substitute, u=(0.1x24

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