Calculus: Early Transcendentals (2nd Edition)

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

Chapter 3 - Derivatives - 3.9 Derivatives of Logarithmic and Exponential Functions - 3.9 Exercises: 42

Answer

$\frac{dy}{dx} = 0.74x^{-0.26}\sec^2(x^{0.74}) $

Work Step by Step

$y =\tan(x^{0.74})$ Chain Rule: $\frac{dy}{dx} = \sec^2(x^{0.74}) \times 0.74x^{-0.26} = 0.74x^{-0.26}\sec^2(x^{0.74}) $
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