Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 13 - Review - True-False Quiz: 9

Answer

TRUE

Work Step by Step

We know that at an inflection point (where $f$ is twice continuously differentiable), we must have $f''(x)=0$. The curvature is given by: $\kappa(x)=\frac{|f''(x)|}{[1+(f'(x))^2]^{3/2}}$ Plugging in $f''(x)=0$, we get $\kappa(x)=0$. Thus the curvature must be zero. True.
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