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Implicit Differentiation at a Point

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If cos⁡(xy)=y−1\cos(xy) = y - 1, what is the value of dydx\dfrac{dy}{dx} at the point (π2,1)\left(\dfrac{\pi}{2}, 1\right)?

A

00

B

−22−π\dfrac{-2}{2 - \pi}

C

22−π\dfrac{2}{2 - \pi}

D

−22+π\dfrac{-2}{2 + \pi}

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