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Beliebt Rechnen >

derivative of 1/(x^2-3/(x^4))

Lösung

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

Lösung

- \frac{2}{x ^{3}} + \frac{12}{x ^{5}}

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

\frac{d}{d x} (\frac{3}{x ^{4}}) = - \frac{12}{x ^{5}}

= - \frac{2}{x ^{3}} - (- \frac{12}{x ^{5}})

Vereinfache

= - \frac{2}{x ^{3}} + \frac{12}{x ^{5}}

Graph

Beliebte Beispiele

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y^{''}+16y^'+65y=0,y(0)=1,y^'(0)=0