Find the derivative of(i) `(x^5-cosx)/(sinx)` (ii) `(x+cosx)/(tanx)`

Explanation

To find the derivatives of the given functions, we will use the quotient rule of differentiation. The quotient rule states that if you have a function \( y = \frac{u}{v} \), then the derivative \( y' \) is given by:

\[ y' = \frac{v \cdot u' - u \cdot v'}{v^2} \]

where \( u \) is the numerator and \( v \) is the denominator.

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