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Beliebt Rechnen >

derivative e^{4tsin(2t)}

Lösung

ableitung von

e^{4 t s i n (2 t)}

Lösung

e^{4 t s i n (2 t)} \cdot 4 (sin (2 t) + 2 t cos (2 t))

Schritte zur Lösung

\frac{d}{d t} (e^{4 t s i n (2 t)})

Wende die Kettenregel an:

e^{4 t s i n (2 t)} \frac{d}{d t} (4 t sin (2 t))

= e^{4 t s i n (2 t)} \frac{d}{d t} (4 t sin (2 t))

\frac{d}{d t} (4 t sin (2 t)) = 4 (sin (2 t) + 2 t cos (2 t))

= e^{4 t s i n (2 t)} \cdot 4 (sin (2 t) + 2 t cos (2 t))

Graph

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