(a)
To find : the points where the tangents is parallel to x − axis.
(a)
Answer to Problem 50E
The points where tangents are parallel to x − axis are
Explanation of Solution
Given information :
The curve is
Formula needed :
Chain rule of derivative:
Product rule of derivative:
The tangent is parallel to x − axis means slope is zero.
For slope, differentiate
Solve further,
Now slope is zero.
Plug
Take square root on both sides,
The points where tangents are parallel to x − axis are
(b)
To find : the points where the tangents is parallel to y − axis.
(b)
Answer to Problem 50E
The points where tangents are parallel to y − axis are
Explanation of Solution
Given information :
The curve is
Formula needed :
Chain rule of derivative:
Product rule of derivative:
The tangent is parallel to y − axis means reciprocal of slope is zero.
For slope, differentiate
Solve further,
Now reciprocal of slope is zero.
Plug
Take square root on both sides,
The points where tangents are parallel to y − axis are
Chapter 3 Solutions
CALCULUS:GRAPHICAL,...,AP ED.-W/ACCESS
- 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