   Chapter 11.5, Problem 1E 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 ( x − 1 )

To determine

To calculate: The derivative of the function f(x)=ln(x1).

Explanation

Given information:

The provided function is f(x)=ln(x1).

Formula used:

The derivative of natural logarithm:

ddx(lnx)=1x

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

Where, u is the function of x.

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

And the derivative of a constant is 0.

Calculation:

Consider the provided function f(x)=ln(x1),

To calculate the derivative of the function f(x)=ln(x1).

Apply the derivative of natural logarithm of a function ddxlnu=1ududx

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