Mathematics

Mathematics

Problem

For the curve xsin⁡y+ycos⁡x=1x\sin y + y\cos x = 1, determine dydx\dfrac{dy}{dx}. a) ysin⁡x−sin⁡yxcos⁡y−cos⁡x\dfrac{y \sin x - \sin y}{x \cos y - \cos x} b) ysin⁡x−sin⁡yxcos⁡y+cos⁡x\dfrac{y \sin x - \sin y}{x \cos y + \cos x} c) sin⁡y−ysin⁡xxcos⁡y+cos⁡x\dfrac{\sin y - y \sin x}{x \cos y + \cos x} d) ysin⁡x−sin⁡yxcos⁡y\dfrac{y \sin x - \sin y}{x \cos y}

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