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Beliebt Rechnen >

d/(dt)(e^{it})

Lösung

\frac{d}{d t} (e^{i t})

Lösung

- sin (t) + i cos (t)

Schritte zur Lösung

\frac{d}{d t} (e^{i t})

Vereinfache

e^{i t} : cos (t) + i sin (t)

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

Wende die Summen-/Differenzregel an:

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

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

\frac{d}{d t} (cos (t)) = - sin (t)

\frac{d}{d t} (i sin (t)) = i cos (t)

= - sin (t) + i cos (t)

Graph

Beliebte Beispiele

(dx)/(dt)=sin(2pi(t+3))

\frac{d x}{d t} = sin (2 π (t + 3))

inverselaplace 1

in v erse l a pl a ce 1

integral of (\sqrt[5]{17}-(x^3)/7)^5x^2

\int (517 - \frac{x ^{3}}{7})^{5} x^{2} d x

sum from n=3 to infinity of 1/3 (2/5)^n

n = 3 \sum \infty \frac{1}{3} (\frac{2}{5})^{n}

integral of 1/(5^{4x)}

\int \frac{1}{5 ^{4 x}} d x