derivative 6/(x^5)-2/x

Lösung

ableitung von

\frac{6}{x ^{5}} - \frac{2}{x}

- \frac{30}{x ^{6}} + \frac{2}{x ^{2}}

Schritte zur Lösung

\frac{d}{d x} (\frac{6}{x ^{5}} - \frac{2}{x})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (\frac{6}{x ^{5}}) - \frac{d}{d x} (\frac{2}{x})

\frac{d}{d x} (\frac{6}{x ^{5}}) = - \frac{30}{x ^{6}}

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

= - \frac{30}{x ^{6}} - (- \frac{2}{x ^{2}})

Vereinfache

= - \frac{30}{x ^{6}} + \frac{2}{x ^{2}}

\frac{\partial}{\partial x} (3 (x + 1)^{2})

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\int (7 - 3 x - 9 x^{2}) d x

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