Find the derivatives :
`(dx^(5))/(x-3)`

Explanation

To find the derivative of the function \( y = \frac{9x^5}{x - 3} \), we will use the quotient rule of differentiation. The quotient rule states that if you have a function in the form \( y = \frac{a}{b} \), then the derivative \( \frac{dy}{dx} \) is given by:

\[ \frac{dy}{dx} = \frac{b \cdot \frac{da}{dx} - a \cdot \frac{db}{dx}}{b^2} \]

where \( a = 9x^5 \) and \( b = x - 3 \).

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