Finite Math and Applied Calculus (6th Edition)

Published by Brooks Cole
ISBN 10: 1133607705
ISBN 13: 978-1-13360-770-0

Chapter 11 - Section 11.1 - Derivatives of Powers, Sums, and Constant Multiples - Exercises - Page 794: 5

Answer

f'(x)=-0.25x^{-0.75}

Work Step by Step

f(x)=-x^{0.25} Using power rule nx^n-1 with n=-0.25 f'(x)=-0.25x^{0.25-1} Final answer is f'(x)=-0.25x^{-0.75}
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