\(f(\mathrm x) = \frac{3\mathrm x+2}{\mathrm x}\)
\(f^1(\mathrm x)\) \(=\frac{\mathrm x \frac{d}{d\mathrm x}(3\mathrm x+2)-(3\mathrm x+2)\frac{d}{d\mathrm x}\mathrm x}{\mathrm x^2}\) \(\Big(\)By \(\frac{U}{V}\)formula\(\Big)\)
\(=\frac{3\mathrm x-(3\mathrm x+2)}{\mathrm x^2}\)
\(=\frac{-2}{\mathrm x^2}\).
