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Beliebt Rechnen >

derivative of-20x^3+12x^2-20

Lösung

\frac{d}{d x} (- 20 x^{3} + 12 x^{2} - 20)

Lösung

- 60 x^{2} + 24 x

Schritte zur Lösung

\frac{d}{d x} (- 20 x^{3} + 12 x^{2} - 20)

Wende die Summen-/Differenzregel an:

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

= - \frac{d}{d x} (20 x^{3}) + \frac{d}{d x} (12 x^{2}) - \frac{d}{d x} (20)

\frac{d}{d x} (20 x^{3}) = 60 x^{2}

\frac{d}{d x} (12 x^{2}) = 24 x

\frac{d}{d x} (20) = 0

= - 60 x^{2} + 24 x - 0

Vereinfache

= - 60 x^{2} + 24 x

Graph

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