   Chapter 11.1, Problem 13E ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042

#### Solutions

Chapter
Section ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042
Textbook Problem

# In each of Problems 13-18, find the derivative of the function in part (a). Then find the derivative of the function in part (b) or show that the function in part (b) is the same function as that in part (a).(a) y = ln x − ln ( x − 1 ) (b) y = ln x x − 1

(a)

To determine

To calculate: The derivative of the function y=lnxln(x1).

Explanation

Given Information:

The function is y=lnxln(x1).

Formula Used:

Chain rule of differentiation for logarithmic function:

ddxlnf(x)=1f(x)df(x)dx

Calculation:

Consider the given function y=lnxln(x1).

Differentiate both sides of above function with respect to x.

ddxy=ddx(lnxln(x1))=ddxlnxddxln(x1)

Apply the chain rule of differentiation for

(b)

To determine

To calculate: The derivative of the function y=ln(xx1).

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