Calculus: Early Transcendentals 8th Edition

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

Chapter 4 - Section 4.3 - How Derivatives Affect the Shape of a Graph - 4.3 Exercises: 24


a) $f'(x)<0$ and $f''(x)<0$ for all $x$. b) $f'(x)>0$ and $f''(x)>0$ for all $x$.

Work Step by Step

(a) The function is decreasing, so $f'(x)<0$, and the function is concave down, so $f''(x)<0$. (b) For this function, it is increasing, so $f'(x)>0$, and it is concave up so $f''(x)>0$.
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