What is (d^3)/(dx^3)((x-1)ln(x)) ?

The answer to (d^3)/(dx^3)((x-1)ln(x)) is -1/(x^2)-2/(x^3)

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(d^3)/(dx^3)((x-1)ln(x))

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

- \frac{1}{x ^{2}} - \frac{2}{x ^{3}}

Solution steps

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

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

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

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

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

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

= - \frac{1}{x ^{2}} - \frac{2}{x ^{3}}

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What is (d^3)/(dx^3)((x-1)ln(x)) ?
The answer to (d^3)/(dx^3)((x-1)ln(x)) is -1/(x^2)-2/(x^3)