a.
To find:The equation of the tangent line to the curve
a.
Answer to Problem 26E
The tangent line is
Explanation of Solution
Given:
Concept used:
ExplanationLet
It has to find the tangent line of the curve and derivative of the function
Finding equation of tangent at
Slope of tangent at
Therefore the equation of the tangent is
Finding equation of tangent at
Slope of tangent at
Therefore the equation of the tangent is
Hence, the tangent line is
b.
To illustrate: The graph of the curve and the tangent line on the same screen.
b.
Explanation of Solution
Given:
Let
In the graph
The black curve is
The blue line which is tangent at
The red line which is tangent at
Chapter 2 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