Concept explainers
Define the derivative of the function f.
Explain the relation between the domain of function and its derivative with examples.
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
University Calculus: Early Transcendentals (3rd Edition)
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