Calculus: Early Transcendentals (2nd Edition)

Published by Pearson
ISBN 10: 0321947347
ISBN 13: 978-0-32194-734-5

Chapter 3 - Derivatives - 3.6 Derivatives as Rates of Change - 3.6 Exercises - Page 180: 2

Answer

If $\frac{dy}{dx}$ is large then small change in $x$ will result in relatively large change in the value of $y$.

Work Step by Step

If $\frac{dy}{dx}$ is large then small change in $x$ will result in relatively large change in the value of $y$, because the average change in $x$ will effect the value of $y$.
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