What is (d^5)/(dx^5)(sqrt(x)) ?

The answer to (d^5)/(dx^5)(sqrt(x)) is (105)/(32x^{9/2)}

Popular >

(d^5)/(dx^5)(sqrt(x))

\frac{d ^{5}}{d x ^{5}} (x)

\frac{105}{32 x ^{\frac{9}{2}}}

Solution steps

\frac{d ^{5}}{d x ^{5}} (x)

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

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

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

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

\frac{d}{d x} (- \frac{1}{4 x ^{\frac{3}{2}}}) = \frac{3}{8 x ^{\frac{5}{2}}}

= \frac{d ^{2}}{d x ^{2}} (\frac{3}{8 x ^{\frac{5}{2}}})

\frac{d}{d x} (\frac{3}{8 x ^{\frac{5}{2}}}) = - \frac{15}{16 x ^{\frac{7}{2}}}

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

\frac{d}{d x} (- \frac{15}{16 x ^{\frac{7}{2}}}) = \frac{105}{32 x ^{\frac{9}{2}}}

= \frac{105}{32 x ^{\frac{9}{2}}}

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

f (x) = (9 x^{6} + 8 x^{3})^{4}

\int 5 x^{2} x + 9 d x

f (x) = 9 x + 4 x^{- 1}

\int_{0}^{1} (y^{6} + y^{8}) d y

What is (d^5)/(dx^5)(sqrt(x)) ?
The answer to (d^5)/(dx^5)(sqrt(x)) is (105)/(32x^{9/2)}