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Beliebt Rechnen >

d/(dθ)(cos(θ)+isin(θ))

Lösung

\frac{d}{d θ} (cos (θ) + i sin (θ))

Lösung

- sin (θ) + i cos (θ)

Schritte zur Lösung

\frac{d}{d θ} (cos (θ) + i sin (θ))

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d θ} (cos (θ)) + \frac{d}{d θ} (i sin (θ))

\frac{d}{d θ} (cos (θ)) = - sin (θ)

\frac{d}{d θ} (i sin (θ)) = i cos (θ)

= - sin (θ) + i cos (θ)

Graph

Beliebte Beispiele

limit as x approaches 0 of 7

x \to 0 lim (7)

integral of (5x^5)/(sqrt(x))

\int \frac{5 x ^{5}}{x} d x

integral of sqrt(x^2+6x+5)

\int x^{2} + 6 x + 5 d x

(dy)/(dx)=3y+x^2+2

\frac{d y}{d x} = 3 y + x^{2} + 2

integral of (-1)/(x-1)

\int \frac{- 1}{x - 1} d x