First, simplify the expression \(\frac{2x^3 + 5}{x}\) by dividing each term in the numerator by \(x\):

\(y = \frac{2x^3}{x} + \frac{5}{x} = 2x^2 + \frac{5}{x}\).

Now, differentiate each term separately:

The derivative of \(2x^2\) is \(4x\).

The derivative of \(\frac{5}{x}\) is \(-\frac{5}{x^2}\) or equivalently \(-5x^{-2}\).

Therefore, the derivative \(\frac{d}{dx}\) is:

\(4x - \frac{5}{x^2}\) or \(4x - 5x^{-2}\).