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Popular >

(d^6)/(dx^6)(x^{-6})

Solution

\frac{d ^{6}}{d x ^{6}} (x^{- 6})

Solution

\frac{332640}{x ^{12}}

Solution steps

\frac{d ^{6}}{d x ^{6}} (x^{- 6})

\frac{d}{d x} (x^{- 6}) = - \frac{6}{x ^{7}}

= \frac{d ^{5}}{d x ^{5}} (- \frac{6}{x ^{7}})

\frac{d}{d x} (- \frac{6}{x ^{7}}) = \frac{42}{x ^{8}}

= \frac{d ^{4}}{d x ^{4}} (\frac{42}{x ^{8}})

\frac{d}{d x} (\frac{42}{x ^{8}}) = - \frac{336}{x ^{9}}

= \frac{d ^{3}}{d x ^{3}} (- \frac{336}{x ^{9}})

\frac{d}{d x} (- \frac{336}{x ^{9}}) = \frac{3024}{x ^{10}}

= \frac{d ^{2}}{d x ^{2}} (\frac{3024}{x ^{10}})

\frac{d}{d x} (\frac{3024}{x ^{10}}) = - \frac{30240}{x ^{11}}

= \frac{d}{d x} (- \frac{30240}{x ^{11}})

\frac{d}{d x} (- \frac{30240}{x ^{11}}) = \frac{332640}{x ^{12}}

= \frac{332640}{x ^{12}}

Popular Examples

(\partial)/(\partial x)((x^2-a-1)(x^2+a-1))

\frac{\partial}{\partial x} ((x^{2} - a - 1) (x^{2} + a - 1))

(\partial)/(\partial x)(3x^2+y^2)

\frac{\partial}{\partial x} (3 x^{2} + y^{2})

derivative of y=3x^2+e^2x+pi^2 derivative of

y = 3 x^{2} + e^{2} x + π^{2}

y=(1+4(2))^{3/2}

y = (1 + 4 (2))^{\frac{3}{2}}

integral from 0 to x of sqrt(36-t^2)

\int_{0}^{x} 36 - t^{2} d t

Frequently Asked Questions (FAQ)

What is (d^6)/(dx^6)(x^{-6}) ?
The answer to (d^6)/(dx^6)(x^{-6}) is (332640)/(x^{12)}