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Beliebt Rechnen >

(d^3)/(dx^3)(9/(x^2))

Lösung

\frac{d ^{3}}{d x ^{3}} (\frac{9}{x ^{2}})

Lösung

- \frac{216}{x ^{5}}

Schritte zur Lösung

\frac{d ^{3}}{d x ^{3}} (\frac{9}{x ^{2}})

\frac{d}{d x} (\frac{9}{x ^{2}}) = - \frac{18}{x ^{3}}

= \frac{d ^{2}}{d x ^{2}} (- \frac{18}{x ^{3}})

\frac{d}{d x} (- \frac{18}{x ^{3}}) = \frac{54}{x ^{4}}

= \frac{d}{d x} (\frac{54}{x ^{4}})

\frac{d}{d x} (\frac{54}{x ^{4}}) = - \frac{216}{x ^{5}}

= - \frac{216}{x ^{5}}

Beliebte Beispiele

integral of+sin^3(θ)cos^8(θ)

\int + sin^{3} (θ) cos^{8} (θ) d θ

derivative of (15/(x^4))

\frac{d}{d x} (\frac{15}{x ^{4}})

extreme f(x)=sqrt(r^2-8x^2)

e x t re m e f (x) = r^{2} - 8 x^{2}

integral of e^{-x/4}sin(pi/4 x)

\int e^{- \frac{x}{4}} sin (\frac{π}{4} x) d x

integral from 0 to 4 of pi(16-x^2)

\int_{0}^{4} π (16 - x^{2}) d x