   Chapter 11.4, Problem 21E 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 ( s ) = ( s 2 − s 0.5 ) 4

To determine

To calculate: The derivative of the function r(s)=(s2s0.5)4.

Explanation

Given Information:

The provided function is r(s)=(s2s0.5)4.

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(s)=(s2s0.5)4,

Let, (s2s0.5)=u, so r(s)=(u)4.

Apply chain rule,

r(s)=ddx(u4)=4u41duds=4u3duds

Substitute, u=(s2s0

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