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Beliebt Rechnen >

derivative e^{2x}tan(x)

Lösung

ableitung von

e^{2 x} tan (x)

Lösung

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

Schritte zur Lösung

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

Wende die Produktregel an:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = e^{2 x}, g = tan (x)

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

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

\frac{d}{d x} (tan (x)) = sec^{2} (x)

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

Graph

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