#### Answer

The Derivative is:
$y'=-\frac{3}{x^2}+5\cos x$

#### Work Step by Step

$y=\frac{3}{x}+5\sin x$
$y=3x^{-1}+5\sin x$
Applying Derivative Rules:
$y'=f'(x)+g'(x)$
$y'=(-1)(3)x^{-1-1}+(5)(\cos x)$
$y'=-3x^{-2}+5\cos x$
$y'=-\frac{3}{x^2}+5\cos x$

Published by
Pearson

ISBN 10:
0-32187-896-5

ISBN 13:
978-0-32187-896-0

The Derivative is:
$y'=-\frac{3}{x^2}+5\cos x$

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