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Beliebt Rechnen >

derivative of |e^{ix}|^2

Lösung

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

Lösung

0

Schritte zur Lösung

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

Vereinfache

e^{i x}^{2} : cos^{2} (x) + sin^{2} (x)

= \frac{d}{d x} (cos^{2} (x) + sin^{2} (x))

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (cos^{2} (x)) + \frac{d}{d x} (sin^{2} (x))

\frac{d}{d x} (cos^{2} (x)) = - sin (2 x)

\frac{d}{d x} (sin^{2} (x)) = sin (2 x)

= - sin (2 x) + sin (2 x)

Vereinfache

= 0

Graph

Beliebte Beispiele

sum from n=0 to infinity of 5/(3^n)

n = 0 \sum \infty \frac{5}{3 ^{n}}

limit as x approaches 2 of (2x^2)/x

x \to 2 lim (\frac{2 x ^{2}}{x})

integral of y(a-by^2)

\int y (a - b y^{2}) d y

integral of x^2sqrt(x)-1

\int x^{2} x - 1 d x

derivative y=arcsin(3/(x^2))

d er i v a t i v e y = arcsin (\frac{3}{x ^{2}})