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Derivative Using the Product Rule

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Let y=(x−1)cos⁡xy = (x-1) \cos x. What is the value of dydx\displaystyle\frac{dy}{dx} at x=π2x = \displaystyle\frac{\pi}{2}?

A

−1-1

B

1−π21 - \displaystyle\frac{\pi}{2}

C

π2−1\displaystyle\frac{\pi}{2} - 1

D

11

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