Concept explainers
To find: The rate of change of
Answer to Problem 37E
The rate of change of
Explanation of Solution
Given:
The length of the ladder is 10 ft, which rests against the vertical wall.
The angle between the top of the ladder and the wall is
The distance from the bottom of the ladder to the wall is x.
Derivative rule:
Constant Multiple Rule:
If c is constant and
Calculation:
The given situation is as shown in the below Figure 1.
In Figure 1,
Cross multiply the equation,
Differentiate the equation with respect to
Apply the Constant Multiple Rule as shown in equation (1),
The rate of change of
Therefore, the rate of change of
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