Find f¹(x) if f(x) = 3x+2/x

1.	Find f¹(x) if f(x) = 3x+2/x
Answer» \(f(\mathrm x) = \frac{3\mathrm x+2}{\mathrm x}\) \(f^1(\mathrm x)\) \(=\frac{\mathrm x \frac{d}{d\mathrm x}(3\mathrm x+2)-(3\mathrm x+2)\frac{d}{d\mathrm x}\mathrm x}{\mathrm x^2}\) \(\Big(\)By \(\frac{U}{V}\)formula\(\Big)\) \(=\frac{3\mathrm x-(3\mathrm x+2)}{\mathrm x^2}\) \(=\frac{-2}{\mathrm x^2}\).

Answer»

\(f(\mathrm x) = \frac{3\mathrm x+2}{\mathrm x}\)

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

\(=\frac{3\mathrm x-(3\mathrm x+2)}{\mathrm x^2}\)

\(=\frac{-2}{\mathrm x^2}\).

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Find f¹(x) if f(x) = 3x+2/x

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