Chapter 2.R, Problem 5CC

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8th Edition

James Stewart

ISBN: 9781285740621

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

To determine

**(a)**

**To explain:**

The meaning of f is differentiable at a.

Explanation

The derivative of a function f at point a in its domain is given by,

To determine

**(b)**

**To explain:**

Relation between differentiability and continuity of a function.

To determine

**(c)**

**To sketch:**

The graph of function continuous but not differentiable at a = 2.

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