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Beliebt Rechnen >

derivative of 1/(8x^{-4}+1/(4x^2))

Lösung

\frac{d}{d x} (\frac{1}{8 x ^{- 4}} + \frac{1}{4 x ^{2}})

Lösung

\frac{x ^{3}}{2} - \frac{1}{2 x ^{3}}

Schritte zur Lösung

\frac{d}{d x} (\frac{1}{8 x ^{- 4}} + \frac{1}{4 x ^{2}})

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (\frac{1}{8 x ^{- 4}}) + \frac{d}{d x} (\frac{1}{4 x ^{2}})

\frac{d}{d x} (\frac{1}{8 x ^{- 4}}) = \frac{x ^{3}}{2}

\frac{d}{d x} (\frac{1}{4 x ^{2}}) = - \frac{1}{2 x ^{3}}

= \frac{x ^{3}}{2} - \frac{1}{2 x ^{3}}

Graph

Beliebte Beispiele

derivative of 2x-cos(x)

derivative of e^{-pi/2}

integral of \sqrt[3]{x}+xsqrt(x)

integral of (e^x)/(16-e^{2x)}