Find derivative of the following functions (it is to be understood that a, b, c, d, p, q, r and s are fixed non-zero constants and m and n are integers): `(sinx+cosx)/(sinx-cosx)`

Explanation

To find the derivative of the function \( f(x) = \frac{\sin x + \cos x}{\sin x - \cos x} \), we will use the quotient rule of differentiation. The quotient rule states that if you have a function in the form \( \frac{u}{v} \), then the derivative is given by:

\[ \frac{d}{dx}\left(\frac{u}{v}\right) = \frac{v \cdot \frac{du}{dx} - u \cdot \frac{dv}{dx}}{v^2} \]

where \( u = \sin x + \cos x \) and \( v = \sin x - \cos x \).

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