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Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

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Section
BuyFindarrow_forward

Single Variable Calculus: Early Tr...

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 f(a) exists

(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 a=2.

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