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Beliebt Rechnen >

derivative x^3+12x^2+54x+14

Lösung

ableitung von

x^{3} + 12 x^{2} + 54 x + 14

Lösung

3 x^{2} + 24 x + 54

Schritte zur Lösung

\frac{d}{d x} (x^{3} + 12 x^{2} + 54 x + 14)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (x^{3}) + \frac{d}{d x} (12 x^{2}) + \frac{d}{d x} (54 x) + \frac{d}{d x} (14)

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

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

\frac{d}{d x} (54 x) = 54

\frac{d}{d x} (14) = 0

= 3 x^{2} + 24 x + 54 + 0

Vereinfache

= 3 x^{2} + 24 x + 54

Graph

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