a.
To find: an equation for each tangent to the curve
a.
Answer to Problem 35E
The equation each tangent to the curve
For
Explanation of Solution
Given information:
The function is
Concept used:
For any function f , slope at any point
The equation of a line passing through
The slope of the tangent is equal to the slope of the curve.
Calculation:
Let
For
The slope of the function is
Given slope is
At
Now find
At
Now find
The equation each tangent to the curve
For
b.
To find: an equation for each normal to the curve
b.
Answer to Problem 35E
The equation each normal to the curve
For
Explanation of Solution
Given information:
The function is
Concept used:
For any function f , slope at any point
The equation of a line passing through
If the slope of a line is m, then the slope of the normal will be
Calculation:
Let
For
The slope of the function is
The slope of the normal is negative of the slope of the curve.
Given slope is
At
Now find
At
Now find
The equation each tangent to the curve
For
Chapter 1 Solutions
Advanced Placement Calculus Graphical Numerical Algebraic Sixth Edition High School Binding Copyright 2020
- 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