Chapter 13, Problem 9RQ

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8th Edition

James Stewart

ISBN: 9781305266643

Textbook Problem

Determine whether the statement is true or false. If it is true, explain why. If it is false, explain why or give an example that disproves the statement.

**9.** Suppose *f* is twice continuously differentiable. At an inflection point of the curve *y* = *f*(*x*), the curvature is 0.

To determine

Whether the statement “suppose *f* is twice continuously differentiable, at an inflection point of the curve

Explanation

**Formula used:**

Consider the expression of a curvature of a plane with equation

At an inflection point , where *f* is twice continuously differentiable we must have

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