Answer
$$y'=\pi x^{\pi-1}$$
Work Step by Step
$$y=x^\pi$$
Recall the General Power Rule for Derivatives: $$\frac{d}{dx}x^n=nx^{n-1}$$
Apply here to find $y'$: $$y'=(x\pi)'=\pi x^{\pi-1}$$
University Calculus: Early Transcendentals (3rd Edition)
by Hass, Joel R.; Weir, Maurice D.; Thomas Jr., George B.
Published by
Pearson
ISBN 10:
0321999584
ISBN 13:
978-0-32199-958-0
Chapter 3 - Section 3.8 - Derivatives of Inverse Functions and Logarithms - Exercises - Page 175: 71
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