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Beliebt Rechnen >

derivative y=\sqrt[5]{x^3}-x^pi

Lösung

ableitung von

y = 5 x^{3} - x^{π}

Lösung

\frac{3 x ^{2}}{5 ( x ^{3} ) ^{\frac{4}{5}}} - π x^{π - 1}

Schritte zur Lösung

\frac{d}{d x} (5 x^{3} - x^{π})

Wende die Summen-/Differenzregel an:

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

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

\frac{d}{d x} (5 x^{3}) = \frac{3 x ^{2}}{5 ( x ^{3} ) ^{\frac{4}{5}}}

\frac{d}{d x} (x^{π}) = π x^{π - 1}

= \frac{3 x ^{2}}{5 ( x ^{3} ) ^{\frac{4}{5}}} - π x^{π - 1}

Graph

Beliebte Beispiele

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\frac{d}{d x} (\frac{7 x}{x ^{2} + 49})

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integral of (x^6-5x)/(x^4)

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