Differentiate with respect to x, `(x^(5)-cosx)/(sinx)`

Explanation

To differentiate the function \( Y = \frac{x^5 - \cos x}{\sin x} \) with respect to \( x \), 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:

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

### Step-by-Step Solution:

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