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Beliebt Rechnen >

derivative g(x)=e^{x^2-x}

Lösung

ableitung von

g (x) = e^{x^{2} - x}

Lösung

e^{x^{2} - x} (2 x - 1)

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

\frac{d}{d x} (x^{2} - x) = 2 x - 1

= e^{x^{2} - x} (2 x - 1)

Graph

Beliebte Beispiele

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\int \frac{1}{x ^{2} x ^{2} - 225} d x

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\frac{d}{d x} (cot (9 x))