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Beliebt Rechnen >

derivative of ax^2+bx+c

Lösung

\frac{d}{d x} (a \cdot x^{2} + b \cdot x + c)

Lösung

2 a x + b

Schritte zur Lösung

\frac{d}{d x} (a x^{2} + b x + c)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (a x^{2}) + \frac{d}{d x} (b x) + \frac{d c}{d x}

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

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

\frac{d c}{d x} = 0

= 2 a x + b + 0

Vereinfache

= 2 a x + b

Graph

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