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Product Rule Differentiation

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

A

π2\displaystyle\frac{\pi}{2}

B

1+π21 + \displaystyle\frac{\pi}{2}

C

1+π41 + \displaystyle\frac{\pi}{4}

D

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