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: 51

Answer

The derivative is $\frac{3}{\sqrt x}-5sin(x)$.

Work Step by Step

To find the derivative just apply the product rule$((x^n)'=nx^{n-1})$ on the individual terms as follows: $f'(x)=(6\sqrt x+5cos(x))'=(6\sqrt x)' + (5cos(x))'=$ $(6)(\frac{1}{2\sqrt x})+(5)(-1)(sin(x))= \frac{3}{\sqrt x}-5sin(x)$.
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