What is (d^5)/(dx^5)(x^{11/2}) ?

The answer to (d^5)/(dx^5)(x^{11/2}) is (10395x^{1/2})/(32)

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(d^5)/(dx^5)(x^{11/2})

\frac{d ^{5}}{d x ^{5}} (x^{\frac{11}{2}})

\frac{10395 x ^{\frac{1}{2}}}{32}

Solution steps

\frac{d ^{5}}{d x ^{5}} (x^{\frac{11}{2}})

\frac{d}{d x} (x^{\frac{11}{2}}) = \frac{11 x ^{\frac{9}{2}}}{2}

= \frac{d ^{4}}{d x ^{4}} (\frac{11 x ^{\frac{9}{2}}}{2})

\frac{d}{d x} (\frac{11 x ^{\frac{9}{2}}}{2}) = \frac{99 x ^{\frac{7}{2}}}{4}

= \frac{d ^{3}}{d x ^{3}} (\frac{99 x ^{\frac{7}{2}}}{4})

\frac{d}{d x} (\frac{99 x ^{\frac{7}{2}}}{4}) = \frac{693 x ^{\frac{5}{2}}}{8}

= \frac{d ^{2}}{d x ^{2}} (\frac{693 x ^{\frac{5}{2}}}{8})

\frac{d}{d x} (\frac{693 x ^{\frac{5}{2}}}{8}) = \frac{3465 x ^{\frac{3}{2}}}{16}

= \frac{d}{d x} (\frac{3465 x ^{\frac{3}{2}}}{16})

\frac{d}{d x} (\frac{3465 x ^{\frac{3}{2}}}{16}) = \frac{10395 x ^{\frac{1}{2}}}{32}

= \frac{10395 x ^{\frac{1}{2}}}{32}

x = 8 - y^{2}, x = y^{2}

\int x + 1 d x

x \to 0 lim (\frac{4}{x ^{3} ( x + 3 )})

sin (x), 1

\frac{x ^{2}}{28}

What is (d^5)/(dx^5)(x^{11/2}) ?
The answer to (d^5)/(dx^5)(x^{11/2}) is (10395x^{1/2})/(32)