# What is the derivative of # f(x) = (x^3-3)/x#?

The derivative of

Using the quotient rule of derivatives:

Here's our expression:

This is the derivative. Hope this helped!

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To find the derivative of ( f(x) = \frac{x^3 - 3}{x} ), use the quotient rule. The derivative is given by:

[ f'(x) = \frac{(x \cdot (3x^2) - (x^3 - 3) \cdot 1)}{x^2} ]

Simplify this expression to obtain the derivative:

[ f'(x) = \frac{3x^3 - x^3 + 3}{x^2} ] [ f'(x) = \frac{2x^3 + 3}{x^2} ]

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