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Beliebt Rechnen >

derivative of e^{2x^2-5x}

Lösung

\frac{d}{d x} (e^{2 x^{2} - 5 x})

Lösung

e^{2 x^{2} - 5 x} (4 x - 5)

Schritte zur Lösung

\frac{d}{d x} (e^{2 x^{2} - 5 x})

Wende die Kettenregel an:

e^{2 x^{2} - 5 x} \frac{d}{d x} (2 x^{2} - 5 x)

= e^{2 x^{2} - 5 x} \frac{d}{d x} (2 x^{2} - 5 x)

\frac{d}{d x} (2 x^{2} - 5 x) = 4 x - 5

= e^{2 x^{2} - 5 x} (4 x - 5)

Graph

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