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Beliebt Rechnen >

derivative of 4x^3-46x^2+120x

Lösung

\frac{d}{d x} (4 x^{3} - 46 x^{2} + 120 x)

Lösung

12 x^{2} - 92 x + 120

Schritte zur Lösung

\frac{d}{d x} (4 x^{3} - 46 x^{2} + 120 x)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (4 x^{3}) - \frac{d}{d x} (46 x^{2}) + \frac{d}{d x} (120 x)

\frac{d}{d x} (4 x^{3}) = 12 x^{2}

\frac{d}{d x} (46 x^{2}) = 92 x

\frac{d}{d x} (120 x) = 120

= 12 x^{2} - 92 x + 120

Graph

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