Concept explainers
To graph: The function
Explanation of Solution
Given information:
The equation
Graph:
On the coordinate axes marks the points on both the axes in sketch the graph of the function
Interpretation:
The provided function is composed of inverse trigonometric and trigonometric function. The domain of inverse sine trigonometric function is
The equation represents a straight line
To graph: The function
Explanation of Solution
Given information:
The equation
Graph:
On the coordinate axes marks the points on both the axes in sketch the graph of the function
Interpretation:
The provided function is composed of inverse trigonometric and trigonometric function. The domain of sine trigonometric function is
To show: The value of the expression
Explanation of Solution
Given information:
The function
Formula used:
Derivation of
Thechain rule for differentiation is if f is a function of gthen
Calculation:
Consider the provided function
Recall that thechain rule for differentiation is if f is a function of gthen
Apply it,
Apply the Pythagorean identity,
Thus, it is shown that the value of the expression
To calculate: The derivative of the function
Answer to Problem 44E
The derivative of the function is
Explanation of Solution
Given information:
The function
Formula used:
Derivation of
Thechain rule for differentiation is if f is a function of gthen
Calculation:
Consider the provided function
Recall that thechain rule for differentiation is if f is a function of gthen
Apply it,
Apply the Pythagorean identity,
Thus, the derivative of the function is
On the coordinate axes marks the points on both the axes in sketch the graph of the function
The range 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