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Beliebt Rechnen >

derivative of e^{2x^6}-1

Lösung

\frac{d}{d x} (e^{2 x^{6}} - 1)

Lösung

12 e^{2 x^{6}} x^{5}

Schritte zur Lösung

\frac{d}{d x} (e^{2 x^{6}} - 1)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (e^{2 x^{6}}) - \frac{d}{d x} (1)

\frac{d}{d x} (e^{2 x^{6}}) = e^{2 x^{6}} \cdot 12 x^{5}

\frac{d}{d x} (1) = 0

= e^{2 x^{6}} \cdot 12 x^{5} - 0

Vereinfache

= 12 e^{2 x^{6}} x^{5}

Graph

Beliebte Beispiele

(\partial)/(\partial y)(x^2+y^2+xy)

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