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Beliebt Rechnen >

derivative of e^{i2x}

Lösung

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

Lösung

- sin (2 x) \cdot 2 + i cos (2 x) \cdot 2

Schritte zur Lösung

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

Vereinfache

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

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

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

\frac{d}{d x} (i sin (2 x)) = i cos (2 x) \cdot 2

= - sin (2 x) \cdot 2 + i cos (2 x) \cdot 2

Graph

Beliebte Beispiele

integral of 1/(s+1)

\int \frac{1}{s + 1} d s

solvefor t,(dy)/(dt)=y^3-y^2-12y

so l v e f or t, \frac{d y}{d t} = y^{3} - y^{2} - 12 y

\frac{d L}{d x}

derivative of ln(x(x^2+3^3))

\frac{d}{d x} (ln (x (x^{2} + 3)^{3}))

derivative of (-9x^2+4^2)

\frac{d}{d x} ((- 9 x^{2} + 4)^{2})