To proof: The
Answer to Problem 8P
The given function is proof.
Explanation of Solution
Given information:
The given function is
Calculation:
Consider the graph of the points is shown in figure-(1)
The graph of the parabola with tangent at the different points is shown below.
Figure-(1)
The slope of the tangent line at any point on the parabola
The equation of the tangent
Or
In the same way the equation of the tangent
The tangents
Substitute the value of
Therefore the point of intersection of
If the third tangent drawn at
Now evaluate
And evaluate
Therefore,
Simplify,
Hence proved,
Therefore the
Chapter 3 Solutions
Single Variable Calculus: Concepts and Contexts, Enhanced 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