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

The answer to (d^3)/(dx^3)(1/(sqrt(x))) is -(15)/(8x^{7/2)}

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(d^3)/(dx^3)(1/(sqrt(x)))

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

- \frac{15}{8 x ^{\frac{7}{2}}}

Solution steps

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

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

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

\frac{d}{d x} (\frac{3}{4 x ^{\frac{5}{2}}}) = - \frac{15}{8 x ^{\frac{7}{2}}}

= - \frac{15}{8 x ^{\frac{7}{2}}}

\int (5 x^{2} + 6 + \frac{7}{x ^{2} + 1}) d x

\frac{d}{d x} (- cosh (x))

f (x) = \frac{9}{x ^{2}}, at x = a

n = 2 \sum \infty \frac{1}{n \cdot ( n + 1 )}

f (x) = x^{2} (x^{2} - 8)

What is (d^3)/(dx^3)(1/(sqrt(x))) ?
The answer to (d^3)/(dx^3)(1/(sqrt(x))) is -(15)/(8x^{7/2)}