Calculus with Applications (10th Edition)

Published by Pearson
ISBN 10: 0321749006
ISBN 13: 978-0-32174-900-0

Chapter 4 - Calculating the Derivative - 4.1 Techniques for Finding Derivatives - 4.1 Exercises: 5

Answer

$f'(x) = 21x^{2.5}-5x^{-0.5} $

Work Step by Step

In order to derivate this function you have to apply the power rule: $\dfrac{d}{dx}(x^n)=nx^{n-1}$ $f'(x) = 6(3.5)x^{2.5}-10(0.5)x^{-0.5} $ $f'(x) = 21x^{2.5}-5x^{-0.5} $
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