What is (d^2)/(dx^2)(1/(ln(x))) ?

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

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(d^2)/(dx^2)(1/(ln(x)))

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

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

Solution steps

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

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

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

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

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

\frac{d}{d y} (y^{2})

x \to \infty lim (\frac{1}{( 2 + x ^{2} ) ^{\frac{1}{x}}})

f (x) = arctan (2 x)

\frac{d}{d x} (arccos (4 x^{3}))

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

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