Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter 2 - Differentiation - 2.2 Exercises: 23

Answer

The derivative is $\frac{-1}{x^2}-3cos(x)$.

Work Step by Step

The function is the difference of two functions so the overall derivative is the difference of both derivatives. The derivative of $\frac{1}{x}$ is $\frac{-1}{x^2}$ and the derivative of $-3sin(x)$ is $-3cos(x)$. Hence the overall derivative is $\frac{-1}{x^2}-3cos(x)$.
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