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Beliebt Rechnen >

(x^2e^x)^'

Lösung

(x^{2} e^{x})^{^{'}}

Lösung

2 x e^{x} + e^{x} x^{2}

Schritte zur Lösung

(x^{2} e^{x})^{'}

Wende die Produktregel an:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = x^{2}, g = e^{x}

= (x^{2})^{^{'}} e^{x} + (e^{x})^{^{'}} x^{2}

(x^{2})^{'} = 2 x

(e^{x})^{'} = e^{x}

= 2 x e^{x} + e^{x} x^{2}

Graph

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