Chapter 2, Problem 15RCC

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8th Edition

James Stewart

ISBN: 9781305270343

Textbook Problem

(a) What does it mean for *f* to be differentiable at *a*?

(b) What is the relation between the differentiability and continuity of a function?

(c) Sketch the graph of a function that is continuous but not differentiable at *a* = 2.

(a)

To determine

**To describe:** The meaning for *f* to be differentiable at *a.*

Explanation

If *a* is appoint in the domain of a function *f,* then *f* is said to be differentiable at *a* if the derivative

(b)

To determine

**To describe:** The relation between differentiability and continuity.

(c)

To determine

**To sketch:** A function that is continuous but not differentiable at

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P-38RECh-2 P-39RECh-2 P-40RECh-2 P-41RECh-2 P-42RECh-2 P-43RECh-2 P-44RECh-2 P-45RECh-2 P-46RECh-2 P-47RECh-2 P-48RECh-2 P-49RECh-2 P-50RECh-2 P-51RECh-2 P-52RECh-2 P-53RECh-2 P-54RECh-2 P-1PCh-2 P-2PCh-2 P-3PCh-2 P-4PCh-2 P-5PCh-2 P-6PCh-2 P-7PCh-2 P-8PCh-2 P-9PCh-2 P-10PCh-2 P-11PCh-2 P-12PCh-2 P-13PCh-2 P-14P

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