What is (d^4)/(dx^4)(1/(sqrt(x))) ?

The answer to (d^4)/(dx^4)(1/(sqrt(x))) is (105)/(16x^{9/2)}

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(d^4)/(dx^4)(1/(sqrt(x)))

\frac{d ^{4}}{d x ^{4}} (\frac{1}{x})

\frac{105}{16 x ^{\frac{9}{2}}}

Solution steps

\frac{d ^{4}}{d x ^{4}} (\frac{1}{x})

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

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

\frac{d}{d x} (- \frac{15}{8 x ^{\frac{7}{2}}}) = \frac{105}{16 x ^{\frac{9}{2}}}

= \frac{105}{16 x ^{\frac{9}{2}}}

n = 0 \sum \infty (n + 1) e^{- n}

\frac{d}{d x} (2^{3^{x}})

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

arctan (2 t)

\frac{d}{d x} (ln (24 x))

What is (d^4)/(dx^4)(1/(sqrt(x))) ?
The answer to (d^4)/(dx^4)(1/(sqrt(x))) is (105)/(16x^{9/2)}