   Chapter 11.5, Problem 63E 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.] f ( x ) = ln | ln x |

To determine

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

Explanation

Given information:

The provided function is f(x)=ln|ln(x)|.

Formula used:

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, f(x)=ln|ln(x)|.

The derivative of natural logarithm of a function is ddxlnu=1ududx.

Here, u=ln(x)

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