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Question

If $$y = e^{x} (\sin X + \cos X),$$ then find $$\dfrac{dy}{dx} $$

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Given, $$y = e^{x} \left ( \sin X + \cos X \right )$$

$$\therefore \dfrac{dy}{dx} = e^{x} (\cos x - \sin x) + (\sin x + \cos x).e^{x} = 2 e^{x} \cos x $$

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