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): `x/(sin^n x)`

Explanation

To find the derivative of the function \( f(x) = \frac{x}{\sin^n x} \), we will use the quotient rule. The quotient rule states that if you have a function that is the quotient of two functions \( u \) and \( v \), then the derivative is given by:

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

### Step 1: Identify \( u \) and \( v \)
Here, we set:
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