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Beliebt Rechnen >

derivative y=(x^2+3x)2

Lösung

ableitung von

y = (x^{2} + 3 x) 2

Lösung

2 (2 x + 3)

Schritte zur Lösung

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

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

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

Wende die Summen-/Differenzregel an:

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

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

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

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

= 2 (2 x + 3)

Graph

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