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

The answer to (d^2)/(dx^2)(1/(sqrt(x))) is 3/(4x^{5/2)}

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

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

\frac{3}{4 x ^{\frac{5}{2}}}

Solution steps

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

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

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

\frac{d}{d x} (- \frac{1}{2 x ^{\frac{3}{2}}}) = \frac{3}{4 x ^{\frac{5}{2}}}

= \frac{3}{4 x ^{\frac{5}{2}}}

What is (d^2)/(dx^2)(1/(sqrt(x))) ?
The answer to (d^2)/(dx^2)(1/(sqrt(x))) is 3/(4x^{5/2)}