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: 21

Answer

The derivative is $2x+\frac{sin(x)}{2}$.

Work Step by Step

Whenever two or more functions are being added or subtracted; the overall derivative would be the sum of the derivative of every "mini" function. The derivative of $x^2$ is $2x$ and the derivative of $\frac{-cos(x)}{2}$ is $\frac{sin(x)}{2}$. Therefore the overall derivative is $2x+\frac{sin(x)}{2}$.
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