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Beliebt Rechnen >

d/(dt)(e^{9tsin(2t)})

Lösung

\frac{d}{d t} (e^{9 t s i n (2 t)})

Lösung

e^{9 t s i n (2 t)} \cdot 9 (sin (2 t) + 2 t cos (2 t))

Schritte zur Lösung

\frac{d}{d t} (e^{9 t s i n (2 t)})

Wende die Kettenregel an:

e^{9 t s i n (2 t)} \frac{d}{d t} (9 t sin (2 t))

= e^{9 t s i n (2 t)} \frac{d}{d t} (9 t sin (2 t))

\frac{d}{d t} (9 t sin (2 t)) = 9 (sin (2 t) + 2 t cos (2 t))

= e^{9 t s i n (2 t)} \cdot 9 (sin (2 t) + 2 t cos (2 t))

Graph

Beliebte Beispiele

y^{''}+4y^'=t^2+3e^t

y^{^{''}} + 4 y^{^{'}} = t^{2} + 3 e^{t}

integral of e^{-v}cos(wv)

\int e^{- v} cos (w v) d v

integral of sqrt(4+x^2)

\int 4 + x^{2} d x

limit as x approaches 3 of (1-x)/(x^2-9)

x \to 3 lim (\frac{1 - x}{x ^{2} - 9})

dy-(y-9)^2*dx=0

d y - (y - 9)^{2} \cdot d x = 0