Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter 2 - Differentiation - 2.6 Exercises: 2

Answer

a) dy/dt = 26 b) dx/dt = 4/7

Work Step by Step

$ y = 3x^2 - 5x $ $\frac{d}{dt} (y) = \frac{d}{dt} ( 3x^2 - 5x) $ $\frac{dy}{dt} = 6x \frac{dx}{dt} - 5\frac{dx}{dt} = (6x -5)\frac{dx}{dt} $ a) find dy/dt when x = 3 and dx/dt = 2 $\frac{dy}{dt} = 6x \frac{dx}{dt} - 5\frac{dx}{dt} = (6x -5)\frac{dx}{dt} $ $\frac{dy}{dt} = 6(3)(2) - 5(2) = 36 - 10 = 26 $ b) find dx/dt when x = 2 and dy/dt = 4 $ 4 = (6(2)-5) \frac{dx}{dt}$ $\frac{dx}{dt} = 4/7 $
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