   Chapter 11.5, Problem 65E 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 1-66, find the derivative of the function. [HINT: See Quick Example 5-14.] s ( x ) = ln ln x

To determine

To calculate: The derivative of the function s(x)=ln(ln(x)).

Explanation

Given information:

The provided function is s(x)=ln(ln(x)).

Formula used:

Constant multiple rule of derivative of a function:

f'(cx)=cf'(x)

Where c is constant.

The derivative of natural logarithm of a function is ddxln|u|=1ududx.

The derivative of natural logarithm of x is ddxln|x|=1x.

Calculation:

Consider the function, s(x)=ln(ln(x)).

Simplify the function s(x)=ln(ln(x)) as,

s(x)=ln(ln(x))=ln[ln(x)]12=12ln(ln(x))

Apply constant multiple rule

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