To graph: the function and the tangent line at the given point
Answer to Problem 25E
Explanation of Solution
Given:
Point
Calculation:
First graph the function using a graphing calculator:
1. Press
2. Type in the equation on
3. Press "graph"
Next, find the derivative of the equation, which will allow for finding and graphing the tangent line.
Now, find the slope of the tangent line by finding
After finding the slope of the tangent line, find
Plug the slope of the tangent line and the point (1,-2) into equation for point slope form and simplify.
Now that the equation of the tangent line at
1. Press
2. Input the tangent line equation in
3. Press "graph"
4. Adjust the window to get the best image
Conclusion:
Therefore, the required graph is drawn.
Chapter 11 Solutions
Precalculus with Limits: A Graphing Approach
- 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