Chapter 2.2, Problem 62E

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8th Edition

James Stewart

ISBN: 9781285740621

Textbook Problem

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The **left-hand **and **right-hand derivatives **of *f* at *a* are defined by

and

if these limits exist. Then

(a) Find

(b) Sketch the graph of *f*.

(c) Where is *f* discontinuous?

(d) Where is *f* not differentiable?

To determine

**(a)To find: **

Explanation

**Formula:**

**Given:**

**Calculation:**

The left hand derivative at x = 4 is given by,

As x approaches 4 from left side,

To determine

**(b)To sketch: **Graph of f

To determine

**(c)To check: **The points at which

To determine

**(d)To check:**

The points at which

Show all chapter solutions

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