Concept explainers
A formula for the derivative of a function f is given. How many critical numbers does f have?
To find: The number of critical numbers.
Answer to Problem 40E
The function f has 14 critical numbers.
Explanation of Solution
Given:
A formula for the derivative of a function
Calculation:
Since the function is defined on
Draw the graph of
Use the graphic calculator and draw the graph of
From Figure 1, it is observed that the graph has 10 x-intercepts. Hence, there are 14 zeros.
Thus, the function
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