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Beliebt Rechnen >

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

Lösung

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

Lösung

e^{8 x^{3} - 2} \cdot 24 x^{2}

Schritte zur Lösung

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

Vereinfache

e^{(2 x)^{3} - 2} : e^{8 x^{3} - 2}

= \frac{d}{d x} (e^{8 x^{3} - 2})

Wende die Kettenregel an:

e^{8 x^{3} - 2} \frac{d}{d x} (8 x^{3} - 2)

= e^{8 x^{3} - 2} \frac{d}{d x} (8 x^{3} - 2)

\frac{d}{d x} (8 x^{3} - 2) = 24 x^{2}

= e^{8 x^{3} - 2} \cdot 24 x^{2}

Graph

Beliebte Beispiele

y^'=((4t^3+1))/(2y-6)

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\int tan^{3} (x) sec^{2} (x) d x

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\int_{1}^{5} \frac{1}{1 + 2 x} d x

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