What is (d^2}{dx^2}(\frac{ln(x))/x) ?

The answer to (d^2}{dx^2}(\frac{ln(x))/x) is -(-2ln(x)+3)/(x^3)

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(d^2}{dx^2}(\frac{ln(x))/x)

\frac{d ^{2}}{d x ^{2}} (\frac{ln ( x )}{x})

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

Solution steps

\frac{d ^{2}}{d x ^{2}} (\frac{ln ( x )}{x})

\frac{d}{d x} (\frac{ln ( x )}{x}) = \frac{1 - ln ( x )}{x ^{2}}

= \frac{d}{d x} (\frac{1 - ln ( x )}{x ^{2}})

\frac{d}{d x} (\frac{1 - ln ( x )}{x ^{2}}) = - \frac{- 2 ln ( x ) + 3}{x ^{3}}

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

What is (d^2}{dx^2}(\frac{ln(x))/x) ?
The answer to (d^2}{dx^2}(\frac{ln(x))/x) is -(-2ln(x)+3)/(x^3)