Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 2 - Derivatives - Review - True-False Quiz - Page 196: 11



Work Step by Step

A tangent to the parabola has the slope $\frac{dx}{dy}=2x$, so at $(-2,4)$ the slope of the tangent is $2(-2)=-4$ and the equation is $y-4=-4(x+2)$ Also, the given equation $y-4=2x(x+2)$ is not linear. Hence, the given statement is false.
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