a. Answer The relative maximum is when x = 2. Explanation Calculation: Clearly from the given graph, Relative maximum when x = 2. Thus the relative maximum is when x = 2. b. To determine From the given graph, find relative minimum. Answer The relative minimum is when x = 0. Explanation Calculation: Clearly from the given graph, Relative minimum when x = 0. Thus the relative minimum is when x = 0. c. To determine From the given graph, find concave up. Answer The values of x is that f is concave up are then and ( − 1 , 1 ) and ( 2 , 3 ) Explanation Calculation: Clearly from the given graph, f is concave up when f ″ > 0. In other words, when the derivative of f ′ > 0. The slope of f ′ is positive for x = − 1 to x = 1 and for x = 2 to x = 3. Thus the values of x is that f is concave up are then and ( − 1 , 1 ) and ( 2 , 3 ) d. To determine Draw the graph. Answer Explanation Calculation: Graph of the function as shown below:

Calculus 2012 Student Edition (by Finney/Demana/Waits/Kennedy)

4th Edition

ISBN: 9780133178579

Author: Ross L. Finney

Publisher: PEARSON

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The extreme points of a function are the maximum and the minimum points of the function. A maximum is attained when the function takes the maximum value and a minimum is attained when the function takes the minimum value.

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Question

Chapter 5, Problem 70RE

To determine

From the given graph, find relative maximum.

Expert Solution

Answer to Problem 70RE

The relative maximum is when x=2.

Explanation of Solution

Calculation:

Clearly from the given graph,

Relative maximum when x=2.

Thus the relative maximum is when x=2.

To determine

From the given graph, find relative minimum.

Expert Solution

Answer to Problem 70RE

The relative minimum is when x=0.

Explanation of Solution

Calculation:

Clearly from the given graph,

Relative minimum when x=0.

Thus the relative minimum is when x=0.

To determine

From the given graph, find concave up.

Expert Solution

Answer to Problem 70RE

The values of x is that f is concave up are then and (−1,1) and (2,3)

Explanation of Solution

Calculation:

Clearly from the given graph, f is concave up when f″>0.

In other words, when the derivative of f′>0.

The slope of f′ is positive for x=−1 to x=1 and for x=2 to x=3.

Thus the values of x is that f is concave up are then and (−1,1) and (2,3)

To determine

Draw the graph.

Expert Solution

Answer to Problem 70RE

Calculus 2012 Student Edition (by Finney/Demana/Waits/Kennedy), Chapter 5, Problem 70RE , additional homework tip 1

Explanation of Solution

Calculation:

Graph of the function as shown below:

Calculus 2012 Student Edition (by Finney/Demana/Waits/Kennedy), Chapter 5, Problem 70RE , additional homework tip 2

Chapter 5, Problem 69RE

Chapter 5, Problem 71RE

Chapter 5 Solutions

Calculus 2012 Student Edition (by Finney/Demana/Waits/Kennedy)

Ch. 5.1 - Prob. 1QR Ch. 5.1 - Prob. 2QR Ch. 5.1 - Prob. 3QR Ch. 5.1 - Prob. 4QR Ch. 5.1 - Prob. 5QR Ch. 5.1 - Prob. 6QR Ch. 5.1 - Prob. 7QR Ch. 5.1 - Prob. 8QR Ch. 5.1 - Prob. 9QR Ch. 5.1 - Prob. 10QR

Ch. 5.1 - Prob. 11QR Ch. 5.1 - Prob. 12QR Ch. 5.1 - Prob. 1E Ch. 5.1 - Prob. 2E Ch. 5.1 - Prob. 3E Ch. 5.1 - Prob. 4E Ch. 5.1 - Prob. 5E Ch. 5.1 - Prob. 6E Ch. 5.1 - Prob. 7E Ch. 5.1 - Prob. 8E Ch. 5.1 - Prob. 9E Ch. 5.1 - Prob. 10E Ch. 5.1 - Prob. 11E Ch. 5.1 - Prob. 12E Ch. 5.1 - Prob. 13E Ch. 5.1 - Prob. 14E Ch. 5.1 - Prob. 15E Ch. 5.1 - Prob. 16E Ch. 5.1 - Prob. 17E Ch. 5.1 - Prob. 18E Ch. 5.1 - Prob. 19E Ch. 5.1 - Prob. 20E Ch. 5.1 - Prob. 21E Ch. 5.1 - Prob. 22E Ch. 5.1 - Prob. 23E Ch. 5.1 - Prob. 24E Ch. 5.1 - Prob. 25E Ch. 5.1 - Prob. 26E Ch. 5.1 - Prob. 27E Ch. 5.1 - Prob. 28E Ch. 5.1 - Prob. 29E Ch. 5.1 - Prob. 30E Ch. 5.1 - Prob. 31E Ch. 5.1 - Prob. 32E Ch. 5.1 - Prob. 33E Ch. 5.1 - Prob. 34E Ch. 5.1 - Prob. 35E Ch. 5.1 - Prob. 36E Ch. 5.1 - Prob. 37E Ch. 5.1 - Prob. 38E Ch. 5.1 - Prob. 39E Ch. 5.1 - Prob. 40E Ch. 5.1 - Prob. 41E Ch. 5.1 - Prob. 42E Ch. 5.1 - Prob. 43E Ch. 5.1 - Prob. 44E Ch. 5.1 - Prob. 45E Ch. 5.1 - Prob. 46E Ch. 5.1 - Prob. 47E Ch. 5.1 - Prob. 48E Ch. 5.1 - 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Finding Local Maxima and Minima by Differentiation; Author: Professor Dave Explains;https://www.youtube.com/watch?v=pvLj1s7SOtk;License: Standard YouTube License, CC-BY

From the given graph, find relative maximum .

Concept explainers

Videos

From the given graph, find relative maximum.

Answer to Problem 70RE

Explanation of Solution

From the given graph, find relative minimum.

Answer to Problem 70RE

Explanation of Solution

From the given graph, find concave up.

Answer to Problem 70RE

Explanation of Solution

Draw the graph.

Answer to Problem 70RE

Explanation of Solution

Chapter 5 Solutions

Additional Math Textbook Solutions