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Beliebt Rechnen >

derivative-12x^5+75x^4

Lösung

ableitung von

- 12 x^{5} + 75 x^{4}

Lösung

- 60 x^{4} + 300 x^{3}

Schritte zur Lösung

\frac{d}{d x} (- 12 x^{5} + 75 x^{4})

Wende die Summen-/Differenzregel an:

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

= - \frac{d}{d x} (12 x^{5}) + \frac{d}{d x} (75 x^{4})

\frac{d}{d x} (12 x^{5}) = 60 x^{4}

\frac{d}{d x} (75 x^{4}) = 300 x^{3}

= - 60 x^{4} + 300 x^{3}

Graph

Beliebte Beispiele

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

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\int 0.5 e^{- 0.5 x} d x

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integral of (x^2+7x-5)cos(2x)

\int (x^{2} + 7 x - 5) cos (2 x) d x