   Chapter 4.5, Problem 4E ### 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
1 views

# Differentiating Logarithmic Functions In Exercises 1-22, find the derivative of the function. See Examples 1, 2, 3, and 4. f ( x ) = ln ( 8 − x 4 )

To determine

To calculate: The derivative of the function f(x)=ln(8x4).

Explanation

Given information:

The provided function is f(x)=ln(8x4).

Formula used:

The chain rule of derivative for natural logarithm

ddxlnu=1ududx.

Where, u is the function of x.

The derivative of function f(x)=un:

ddx(xn)=nxn1

Calculation:

Consider the function f(x)=ln(8x4).

Let; u=8x4,

Now differentiate the function with respect to x,

dudx=ddx(8x4)=04x3=4x3

Substitute, u for 8x4 in function,

f(x)=ln(u)

Now differentiate the function with respect to x

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

#### Expand each expression in Exercises 122. (2x3)(2x+3)

Finite Mathematics and Applied Calculus (MindTap Course List)

#### Use the guidelines of this section to sketch the curve. y=x3x2

Single Variable Calculus: Early Transcendentals, Volume I

#### In problems 9-18, simplify the expressions with all exponents positive. 17.

Mathematical Applications for the Management, Life, and Social Sciences

#### limx5x225x29x+20= a) 1 b) 10 c) d) does not exist

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th

#### Find: a. P(7,5) b. P(6,0)

College Algebra (MindTap Course List) 