To find : the equation of tangent line and normal line at
Answer to Problem 59E
The tangent line for curve at
The normal line for curve at
Explanation of Solution
Given information :
Curve
Formula needed :
The tangent line for curve is given by
Differentiate
So, the slope at
The point of contact between curve and line at
So, the point of contact is
The tangent line for curve at
The normal line for curve at
The graph of curve in green, tangent line in blue and normal line in black is
Chapter 3 Solutions
CALCULUS-W/XL 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