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Popular >

(d^6)/(dx^6)(x^{-7})

Solution

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

Solution

\frac{665280}{x ^{13}}

Solution steps

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

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

= \frac{d ^{5}}{d x ^{5}} (- \frac{7}{x ^{8}})

\frac{d}{d x} (- \frac{7}{x ^{8}}) = \frac{56}{x ^{9}}

= \frac{d ^{4}}{d x ^{4}} (\frac{56}{x ^{9}})

\frac{d}{d x} (\frac{56}{x ^{9}}) = - \frac{504}{x ^{10}}

= \frac{d ^{3}}{d x ^{3}} (- \frac{504}{x ^{10}})

\frac{d}{d x} (- \frac{504}{x ^{10}}) = \frac{5040}{x ^{11}}

= \frac{d ^{2}}{d x ^{2}} (\frac{5040}{x ^{11}})

\frac{d}{d x} (\frac{5040}{x ^{11}}) = - \frac{55440}{x ^{12}}

= \frac{d}{d x} (- \frac{55440}{x ^{12}})

\frac{d}{d x} (- \frac{55440}{x ^{12}}) = \frac{665280}{x ^{13}}

= \frac{665280}{x ^{13}}

Popular Examples

integral of (3x+cos(x))

\int (3 x + cos (x)) d x

integral of 1/(sqrt(x^2-6x+25))

\int \frac{1}{x ^{2} - 6 x + 25} d x

(\partial)/(\partial x)(-6x+18)

\frac{\partial}{\partial x} (- 6 x + 18)

derivative of x^2+16

\frac{d}{d x} (x^{2} + 16)

area 1/(x+1),((x-1))/2 area

\frac{1}{x + 1}, \frac{( x - 1 )}{2}

Frequently Asked Questions (FAQ)

What is (d^6)/(dx^6)(x^{-7}) ?
The answer to (d^6)/(dx^6)(x^{-7}) is (665280)/(x^{13)}