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Math
CalculusSingle Variable Calculus: Early Transcendentals, Volume I8th Edition

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Chapter 4.1, Problem 76E
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Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

Solutions

Chapter
Section
Problem 1E
Problem 2E
Problem 3E
Problem 4E
Problem 5E
Problem 6E
Problem 7E
Problem 8E
Problem 9E
Problem 10E
Problem 11E
Problem 12E
Problem 13E
Problem 14E
Problem 15E
Problem 16E
Problem 17E
Problem 18E
Problem 19E
Problem 20E
Problem 21E
Problem 22E
Problem 23E
Problem 24E
Problem 25E
Problem 26E
Problem 27E
Problem 28E
Problem 29E
Problem 30E
Problem 31E
Problem 32E
Problem 33E
Problem 34E
Problem 35E
Problem 36E
Problem 37E
Problem 38E
Problem 39E
Problem 40E
Problem 41E
Problem 42E
Problem 43E
Problem 44E
Problem 45E
Problem 46E
Problem 47E
Problem 48E
Problem 49E
Problem 50E
Problem 51E
Problem 52E
Problem 53E
Problem 54E
Problem 55E
Problem 56E
Problem 57E
Problem 58E
Problem 59E
Problem 60E
Problem 61E
Problem 62E
Problem 63E
Problem 64E
Problem 65E
Problem 66E
Problem 67E
Problem 68E
Problem 69E
Problem 70E
Problem 71E
Problem 72E
Problem 73E
Problem 74E
Problem 75E
Problem 76E
Problem 77E
Problem 78E
Problem 79E
Problem 80E
BuyFindarrow_forward

Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343
Textbook Problem

Show that 5 is a critical number of the function

g ( x ) = 2 + ( x − 5 ) 3

but g does not have a local extreme value at 5.

To determine

To show: The critical number of the function g(x)=2+(x−5)3 is 5; but it does not have a local extreme value at 5 .

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.

Proof:

Find the first derivative of g(x) .

g′(x)=ddx(2+(x−5)3)

g′(x)=3(x−5)2 (1)

Substitute x=5 in equation (1),

g′(5)=3(5−5)2g′(5)=0

Hence, it satisfies the condition of the definition of critical number

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Trigonometry (MindTap Course List)

Evaluating a Definite Integral In Exercises 61-68, evaluate the definite integral. Use a graphing utility to ve...

Calculus of a Single Variable

Spheres Imagine you are stacking an infinite number of spheres of decreasing radii on top of each other, as sho...

Calculus: Early Transcendental Functions (MindTap Course List)

TEAM SELECTION There are eight seniors and six juniors in the Math Club at Jefferson High School. In how many w...

Finite Mathematics for the Managerial, Life, and Social Sciences

Consider ABCD as shown. a How are A and C related? b How are A and B related?

Elementary Geometry for College Students

The length of the are r = e for 0 is given by: a) 0ed b) 02e2d c) 02ed d) 02ed

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

HOW DO YOU SEE IT? Several representative vectors in the vector fields F(x,y)=xi+yix2+y2 and G(x,y)=xi-yjx2+y2 ...

Calculus

Finding a Limit In Exercises 5-22, find the limit. limx212x+33

Calculus (MindTap Course List)

Evaluating a Line Integral Using Greens TheoremIn Exercises 1524, use Greens Theorem to evaluate the line integ...

Multivariable Calculus

The area of the shaded region is given by:

Study Guide for Stewart's Multivariable Calculus, 8th

Identify the three modalities of measurement and explain the strengths and weaknesses of each.

Research Methods for the Behavioral Sciences (MindTap Course List)

Determine which property of real numbers justifies each statement. a+7=7+a

College Algebra (MindTap Course List)

Exercises 59-70 refer to Example 10. You want to plant tomatoes in your backyard. Tomatoes prefer soil that has...

Mathematics: A Practical Odyssey

The Jacobs Chemical Company wants to estimate the mean time (minutes) required to mix a batch of material on ma...

STATISTICS F/BUSINESS+ECONOMICS-TEXT

With reference to 1, name each of the sides of the following triangles as opposite, adjacent, or hypotenuse. Na...

Mathematics For Machine Technology

Refer to the gasoline sales time series data in Table 17.1. a. Compute four-week and five-week moving averages ...

Statistics for Business & Economics, Revised (MindTap Course List)

The paper referenced in the previous exercise also included data on left atrial diameter for children who were ...

Introduction To Statistics And Data Analysis

Mueller and Oppenheimer (2014) conducted a series of studies comparing the effectiveness of taking classroom no...

Research Methods for the Behavioral Sciences (MindTap Course List)

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