To find: The equations of all lines tangent to
Answer to Problem 36E
The equations of all lines tangent to
Explanation of Solution
Given information:
The curve is
Calculation:
The formula for the slope of curve at
Substitute
Substitute
Substitute
Further simplify.
The tangent line to the curve
As the tangent line passes through the point
Further simplify,
So, the values of
Substitute
Substitute
Therefore, the equations of all lines tangent to
Chapter 2 Solutions
Calculus: Graphical, Numerical, Algebraic: Solutions Manual
Additional Math Textbook Solutions
Precalculus (10th Edition)
University Calculus: Early Transcendentals (4th Edition)
Calculus and Its Applications (11th Edition)
Calculus & Its Applications (14th Edition)
Precalculus Enhanced with Graphing Utilities (7th Edition)
Thomas' Calculus: Early Transcendentals (14th 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