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What is the derivative of #sinx-x/2#?

Answer 1

Isaiah Allen

Split and Combine

The derivative of #sin(x) = cos(x)# The derivative of #-1/2x = -1/2#

So the final derivative of #y = sin(x)-x/2# is:

#cos(x) - 1/2#

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Answer 2

Emma Aldridge

The derivative of ( \sin(x) - \frac{x}{2} ) is ( \cos(x) - \frac{1}{2} ).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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