(a)
To show : the point
(a)
Explanation of Solution
Given information :
The curve is
Plug the point
Hence verified that the point
(b)
To find : the slope of the line tangent to curve.
(b)
Answer to Problem 47E
the slope of the line tangent to curve is
Explanation of Solution
Given information :
The curve is
Formula needed :
Chain rule of derivative:
Product rule of derivative:
Differentiate
Further simplifying,
Plug the point
So, the slope of curve at
Chapter 3 Solutions
AP CALCULUS TEST PREP-WORKBOOK
- 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