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Beliebt Rechnen >

(d^3)/(dx^3)(7/(x^2))

Lösung

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

Lösung

- \frac{168}{x ^{5}}

Schritte zur Lösung

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

\frac{d}{d x} (\frac{7}{x ^{2}}) = - \frac{14}{x ^{3}}

= \frac{d ^{2}}{d x ^{2}} (- \frac{14}{x ^{3}})

\frac{d}{d x} (- \frac{14}{x ^{3}}) = \frac{42}{x ^{4}}

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

\frac{d}{d x} (\frac{42}{x ^{4}}) = - \frac{168}{x ^{5}}

= - \frac{168}{x ^{5}}

Beliebte Beispiele

(\partial)/(\partial x)(a^x)

\frac{\partial}{\partial x} (a^{x})

integral of (5x)/((x^2+5)^2)

\int \frac{5 x}{( x ^{2} + 5 ) ^{2}} d x

tangent (-6x)/((x^2+1))

t an g e n t \frac{- 6 x}{( x ^{2} + 1 )}

derivative of (sin^2(x)/(1+cos^2(x)))

\frac{d}{d x} (\frac{sin ^{2} ( x )}{1 + cos ^{2} ( x )})

integral of 1/((4x+5)^2)

\int \frac{1}{( 4 x + 5 ) ^{2}} d x