   Chapter 11.5, Problem 32E 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.] h ( x ) = ln ( 9 x 4 x − 2 )

To determine

To calculate: The derivative of the function h(x)=ln(9x4x2).

Explanation

Given information:

The provided function is h(x)=ln(9x4x2).

Formula used:

The derivative of natural logarithm of a function is ddx(lnu)=1ududx.

Constant multiple rule of derivative of function f(x) is f(cx)=cf(x) where, c is constant.

The derivative of the function using power rule, y=xn is dydx=nxn1.

Calculation:

Consider the provided function h(x)=ln(9x4x2),

Simplify the function h(x)=ln(9x4x2) as,

h(x)=ln(9x4x2)=ln(9x)ln(4x2)

To calculate the derivative, apply the derivative of natural logarithm of a function is ddx(lnu)=1ududx

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