Calculus: Early Transcendentals 9th Edition

Published by Cengage Learning
ISBN 10: 1337613924
ISBN 13: 978-1-33761-392-7

Chapter 10 - Section 10.2 - Calculus with Parametric Curves - 10.2 Exercises - Page 679: 1

Answer

$\frac{dy}{dx}=\frac{4-10t}{6t^2+3}$

Work Step by Step

Find $dx/dt$: $\frac{dx}{dt}=6t^2+3$ Find $dy/dt$: $\frac{dy}{dt}=4-10t$ Find $\frac{dy}{dx}$: $\frac{dy}{dx}=\frac{dy/dt}{dx/dt}=\frac{4-10t}{6t^2+3}$
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