What is (d^2)/(dx^2)(sqrt(x)ln(x)) ?

The answer to (d^2)/(dx^2)(sqrt(x)ln(x)) is -(ln(x))/(4x^{3/2)}

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(d^2)/(dx^2)(sqrt(x)ln(x))

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

- \frac{ln ( x )}{4 x ^{\frac{3}{2}}}

Solution steps

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

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

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

\frac{d}{d x} (\frac{ln ( x )}{2 x} + \frac{1}{x}) = - \frac{ln ( x )}{4 x ^{\frac{3}{2}}}

= - \frac{ln ( x )}{4 x ^{\frac{3}{2}}}

What is (d^2)/(dx^2)(sqrt(x)ln(x)) ?
The answer to (d^2)/(dx^2)(sqrt(x)ln(x)) is -(ln(x))/(4x^{3/2)}