   Chapter 4.5, Problem 10E ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

#### Solutions

Chapter
Section ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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# Differentiating Logarithmic Functions In Exercises 1–22, find the derivative of the function. See Examples 1, 2, 3, and 4. y = ln   x x 3

To determine

To calculate: The derivative of the function y=lnxx3.

Explanation

Given information:

The provided function is y=lnxx3.

Formula used:

Quotient rule of derivative of differentiable functions, f(x) and g(x) is,

ddx[f(x)g(x)]=f'(x)g(x)f(x)g'(x)[g(x)]2

Where, g(x)0

Calculation:

Consider the function, y=lnxx3

Apply quotient rule, ddx[f(x)g(x)]=f'(x)g(x)f(x)g'(x)

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