   Chapter 4.1, Problem 29E ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

#### Solutions

Chapter
Section ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343
Textbook Problem

# Find the critical numbers of the function. f ( x ) = 4 + 1 3 x − 1 2 x 2

To determine

To find: The critical numbers of the function f(x)=4+13x12x2 .

Explanation

Definition used:

A critical number of a function f is a number c, if it satisfies either of the below conditions:

(1) f(c)=0

(2) f(c) does not exist.

Formula used:

The Power Rule:

If n is positive integer, then ddx(xn)=nxn1 . (1)

Calculation:

Obtain the first derivative of the given function f(x)=4+13x12x2 .

f(x)=ddx(4+13x12x2)         =ddx(4)+ddx(13x)ddx(1

### 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

#### Rationalize Numerator Rationalize the numerator. 96. x+1x

Precalculus: Mathematics for Calculus (Standalone Book)

#### Solve the equations in problem 1-6. 2.

Mathematical Applications for the Management, Life, and Social Sciences

#### Differentiate. H(u)=(uu)(u+u)

Single Variable Calculus: Early Transcendentals

#### Sometimes, Always, or Never: (ax) = ax.

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

#### Using for |x| < 1,

Study Guide for Stewart's Multivariable Calculus, 8th 