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: 11

Answer

$f'(t)= -7t^{-2}+15t^{-4} $

Work Step by Step

In order to derivate this function you have to apply the power rule: $\dfrac{d}{dx}(x^n)=nx^{n-1}$ But first let's rewrite the function $f(t) = 7t^{-1}-5t^{-3}$ Then: $f'(t)= 7(-1)t^{-2}-5(-3)t^{-4} $ $f'(t)= -7t^{-2}+15t^{-4} $
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