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Product Rule with Trigonometric Functions

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If y=sin⁡xcos⁡xy = \sin x \cos x, what is the value of dydx\displaystyle\frac{dy}{dx} at x=π4x = \displaystyle\frac{\pi}{4}?

A

00

B

12\displaystyle\frac{1}{2}

C

11

D

−1-1

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