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Concept explainers
Define the derivative of the function f.
Explain the relation between the domain of function and its derivative with examples.
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Explanation of Solution
Consider a function f is differentiable at a domain value a, then
Example:
Consider the function
Substitute 0 for x in Equation (1).
Substitute
The domain of the function
Show the derivative of the function as follows:
Differentiate Equation (1) as follows:
Substitute 0 for x in Equation (2).
Substitute
The domain of the function
Thus, the domain of the function
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Chapter 3 Solutions
EP THOMAS'CALCULUS,EARLY TRANS.-MYLAB
- 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
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