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Beliebt Rechnen >

derivative y=(3-e^x)^3

Lösung

ableitung von

y = (3 - e^{x})^{3}

Lösung

- 3 e^{x} (3 - e^{x})^{2}

Schritte zur Lösung

\frac{d}{d x} ((3 - e^{x})^{3})

Wende die Kettenregel an:

3 (3 - e^{x})^{2} \frac{d}{d x} (3 - e^{x})

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

\frac{d}{d x} (3 - e^{x}) = - e^{x}

= 3 (3 - e^{x})^{2} (- e^{x})

Vereinfache

= - 3 e^{x} (3 - e^{x})^{2}

Graph

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