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Beliebt Rechnen >

derivative of tan(1+e^{2x})

Lösung

\frac{d}{d x} (tan (1 + e^{2 x}))

Lösung

sec^{2} (1 + e^{2 x}) \cdot 2 e^{2 x}

Schritte zur Lösung

\frac{d}{d x} (tan (1 + e^{2 x}))

Wende die Kettenregel an:

sec^{2} (1 + e^{2 x}) \frac{d}{d x} (1 + e^{2 x})

= sec^{2} (1 + e^{2 x}) \frac{d}{d x} (1 + e^{2 x})

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

= sec^{2} (1 + e^{2 x}) \cdot 2 e^{2 x}

Graph

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