Differentiate `(e^(x)+cot x)/(tan x-x^(n))` with respect to 'x'.

Explanation

To differentiate the function \( y = \frac{e^x + \cot x}{\tan x - x^n} \) with respect to \( x \), we will use the quotient rule. The quotient rule states that if we have a function in the form \( \frac{u}{v} \), then the derivative is given by:

\[ \frac{dy}{dx} = \frac{v \frac{du}{dx} - u \frac{dv}{dx}}{v^2} \]

where \( u = e^x + \cot x \) and \( v = \tan x - x^n \).

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