(a)
To find: The value
(a)
Answer to Problem 56E
The value
Explanation of Solution
Given:
The function is
Result used: Chain Rule
If h is differentiable at x and g is differentiable at
The slope of the line passing through the points
Calculation:
Obtain the derivative of
Apply the chain rule as shown in equation (1),
Substitute
From the given graph it is observed that,
Obtain the values
From the given graph, draw the tangent line at
Use the slope formula stated above and compute the slope of the line passing through the points
From the given graph it is observed that,
Thus, the value is
Similarly, the value
Substitute
Therefore, the value
(b)
To find: The value
(b)
Answer to Problem 56E
The value
Explanation of Solution
Given:
The function is
Calculation:
Obtain the derivative of
Let
Apply the chain rule as shown in equation (1),
The derivative of
Substitute
Thus, the derivative is
The derivative of
Thus, the derivative is
Substitute
Substitute
Obtain the value of
From the given graph, draw the tangent line at
Use the slope formula stated above and compute the slope of the line passing through the points
From the given graph observe that,
Thus, the value
Substitute 2 for
Therefore, the value
Chapter 3 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