Chapter 9.3, Problem 4CP

### Mathematical Applications for the ...

12th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781337625340

Chapter
Section

### Mathematical Applications for the ...

12th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781337625340
Textbook Problem

# Must a graph that has no discontinuity, corner, or cusp at x = c be differentiable at x = c?

To determine

Whether a graph that has no discontinuity, corner or cusp at x=c be differentiable at x=c.

Explanation

Given Information:

The graph that has no discontinuity, corner or cusp at x=c be differentiable at x=c.

Explanation:

If a function f(x) is differentiable at x=c, then f(x) is continuous at x=c.

But, if a function f(x) is continuous at x=c, it does not imply that f(x) is differentiable at x=c

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