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Beliebt Rechnen >

derivative of 25x^2e^{2x}-16

Lösung

\frac{d}{d x} (25 x^{2} e^{2 x} - 16)

Lösung

25 (2 e^{2 x} x^{2} + 2 e^{2 x} x)

Schritte zur Lösung

\frac{d}{d x} (25 x^{2} e^{2 x} - 16)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (25 x^{2} e^{2 x}) - \frac{d}{d x} (16)

\frac{d}{d x} (25 x^{2} e^{2 x}) = 25 (2 x e^{2 x} + e^{2 x} \cdot 2 x^{2})

\frac{d}{d x} (16) = 0

= 25 (2 x e^{2 x} + e^{2 x} \cdot 2 x^{2}) - 0

Vereinfache

= 25 (2 e^{2 x} x^{2} + 2 e^{2 x} x)

Graph

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