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}) $
Calculus: Early Transcendentals (2nd Edition)
by Briggs, Bill L.; Cochran, Lyle; Gillett, Bernard
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 - Page 211: 42
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