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Find (dy)/(dx), when : If y=((cos x - ...

Find `(dy)/(dx)`, when :
If `y=((cos x - sin x))/((cos x + sin x))`, prove that `(dy)/(dx)+y^(2)+1=0`.

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To solve the problem, we need to find the derivative of \( y = \frac{\cos x - \sin x}{\cos x + \sin x} \) and then prove that \( \frac{dy}{dx} + y^2 + 1 = 0 \). ### Step 1: Find \( y^2 \) First, we calculate \( y^2 \): \[ y = \frac{\cos x - \sin x}{\cos x + \sin x} ...
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