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Beliebt Rechnen >

derivative of 3x^2+12x+9

Lösung

\frac{d}{d x} (3 x^{2} + 12 x + 9)

Lösung

6 x + 12

Schritte zur Lösung

\frac{d}{d x} (3 x^{2} + 12 x + 9)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (3 x^{2}) + \frac{d}{d x} (12 x) + \frac{d}{d x} (9)

\frac{d}{d x} (3 x^{2}) = 6 x

\frac{d}{d x} (12 x) = 12

\frac{d}{d x} (9) = 0

= 6 x + 12 + 0

Vereinfache

= 6 x + 12

Graph

Beliebte Beispiele

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\int 9 (9 x + 2) d x

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