   Chapter 4.5, Problem 21E ### 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. g ( x ) = ln e x + e − x 2

To determine

To calculate: The derivative of the function g(x)=lnex+ex2.

Explanation

Given information:

The provided function is g(x)=lnex+ex2.

Formula used:

Let a be a positive real number a1 and u be a differentiable function of x. The derivative of natural logarithm of a function is,

ddx[logau]=(1lna)(1u)dudx

The derivative of function f(x)=un using the chain rule is,

f(x)=ddx(un)=nun1dudx

Where, u is the function of x.

Calculation:

Consider the function, g(x)=lnex+ex2

Apply the logarithm properties in given function,

g(x)=ln

### 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

#### Solve the equations in Exercises 126. 2x3x12x+3x+1=0

Finite Mathematics and Applied Calculus (MindTap Course List)

#### In Exercises 29-34, rationalize the denominator of each expression. 32. a1a

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

#### In problems 1-4, fnd the powers and roots,if they are real numbers. 4. (a) ...

Mathematical Applications for the Management, Life, and Social Sciences 