Use the given graph to estimate the value of each derivative. Then sketch the graph of f'.
(a) f'(–3)
(b) f' (–2)
(c) f'(–1)
(d) f'(0)
(e) f'(l)
(f) f'(2)
(g) f'(3)
(a)
To estimate: The value of
Answer to Problem 1E
The value of
Explanation of Solution
Estimation:
Draw the slope of the tangent at the point
The calculation of the slope at
From the Figure 1,
Thus,
(b)
To estimate: The value of
Answer to Problem 1E
The value of
Explanation of Solution
Estimation:
Draw the slope of the tangent at the point
From the Figure 2, tt is clear that the tangent to the graph at
Thus,
(c)
To estimate: The value of
Answer to Problem 1E
The value of
Explanation of Solution
Estimation:
Draw the slope of the tangent at the point
From the Figure 3, Slope of AB
Thus,
(d)
To estimate: The value of
Answer to Problem 1E
The value of
Explanation of Solution
Estimation:
Draw the slope of the tangent at the point
From the Figure 4, Slope of AB
Thus,
(e)
To estimate: The value of
Answer to Problem 1E
The value of
Explanation of Solution
Estimation:
Draw the slope of the tangent at the point
From the Figure 5, Slope of AB
Thus,
(f)
To estimate: The value of
Answer to Problem 1E
The value of
Explanation of Solution
Estimation:
Draw the slope of the tangent at the point
From the Figure 6, it is clear that the tangent to the graph at
Thus,
(g)
To estimate: The value of
Answer to Problem 1E
The value of
Explanation of Solution
Estimation:
Draw the slope of the tangent at the point
From the Figure 7, Slope of AB
Thus,
To Sketch the graph of
From Figure 1, it is observed that the graph of
Chapter 2 Solutions
Single Variable Calculus: Concepts and Contexts, Enhanced Edition
Additional Math Textbook Solutions
University Calculus
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (4th Edition)
Thomas' Calculus: Early Transcendentals (14th Edition)
Finite Mathematics and Calculus with Applications (10th 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