(a)
To find:
The antiderivative without using the chain rule
(a)
Answer to Problem 59RE
Explanation of Solution
Given:
The function
Concept used:
Antiderivative :- A function
The entire family of antiderivative of a function by adding a constant to a known antiderivative
So, if
Calculation:
The function
if
Integrating the equation (1)
(b)
To find:
The antiderivative without using the chain rule
(b)
Answer to Problem 59RE
Explanation of Solution
Given:
The function
Concept used:
Antiderivative :- A function
The entire family of antiderivative of a function by adding a constant to a known antiderivative
So, if
Calculation:
The function
if
Integrating the equation (1)
(c)
To graph:
Using by the graph of the given function
(c)
Explanation of Solution
Given:
The function is
Concept used:
The slope of the tangent to a curve
The tangent to be horizontal so the slope should be equal to 0
That is
Calculation:
The function is
Draw the table
Test one point in each of the region formed by the graph
If the point satisfies the function then shade the entire region to denote that every point in the region satisfies the function
Draw the graph
Chapter 4 Solutions
Single Variable Calculus: Concepts and Contexts, Enhanced Edition
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning