Concept explainers
To calculate: For the function,
Answer to Problem 29E
The function
Explanation of Solution
Given information:
The function,
Formula used:
Let a function g be continuous on closed interval
If first derivative of the function is greater than zero that is
If first derivative of the function is less than zero that is
Product rule for differentiation is
Calculation:
Consider the function,
Differentiate the function with respect to x . Product rule for differentiation is
Apply it,
Recall if a function g is continuous on closed interval
If first derivative of the function is less than zero that is
Apply it,
So,
Thus, the function
To calculate: For the function,
Answer to Problem 29E
The function
Explanation of Solution
Given information:
The function,
Formula used:
Let a function g be continuous on closed interval
If first derivative of the function is greater than zero that is
If first derivative of the function is less than zero that is
If the second derivative of the function is greater than zero that is
Product rule for differentiation is
Calculation:
Consider the function,
Differentiate the function with respect to x . Product rule for differentiation is
Apply it,
Differentiate again with respect to x .
Recall if a function g is continuous on closed interval
If the second derivative of the function is greater than zero that is
Apply it, so
So,
Thus, the function
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