Concept explainers
To find: the slopes at a given points
Answer to Problem 22E
The slopes at a given points are
Explanation of Solution
Given:
Calculation:
This is the given equation
Use this equation top find the derivative, which gives us the slope of the tangent line
Now plug in
To get rid of the fractions in the numerator, multiply by the LCD
This is the equation after doing some distribution
This is after combining like terms
The h's cancel out and leave us with this
Next plug in 0 for h since that is what the limit for the variable h is
This is the derivative
Next plug in the
This is a
This is b
Thus,
Conclusion:
Therefore, the slopes at a given points are
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