Concept explainers
To find: The function
Answer to Problem 38E
The function
Explanation of Solution
Given Data:
Write the given function
The line
Formula used:
The antiderivative function for the function
Here, C is the constant.
Write the equation of straight line.
Here,
Calculate the function
Calculation of function
Rewrite the function
From the antiderivative function formula, the antiderivative for the function in equation (2) is written as follows.
Write the equation of tangent line as follows.
Rewrite the equation as follows.
Compare equation (4) with equation (1).
The slope of the tangent line is observed as
The slope of the tangent line is always equals to the function
Therefore, equate the function
Substitute
The value of y is 1, when
Therefore, the function
As the function
As
Rewrite the expression as follows.
Substitute 1 for
Substitute
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