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Beliebt Rechnen >

derivative of (e^{ix}+e^{-ix}/2)

Lösung

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

Lösung

- sin (x)

Schritte zur Lösung

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

Vereinfache

\frac{e ^{i x} + e ^{- i x}}{2} : cos (x)

= \frac{d}{d x} (cos (x))

Wende die allgemeine Ableitungsregel an:

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

= - sin (x)

Graph

Beliebte Beispiele

(\partial)/(\partial y)(x/(9+y))

\frac{\partial}{\partial y} (\frac{x}{9 + y})

y^'+ycos(x)=sin(x)cos(x)

y^{^{'}} + y cos (x) = sin (x) cos (x)

tangent f(x)=(ln(x))^6,\at x=4

t an g e n t f (x) = (ln (x))^{6}, at x = 4

xy^'+2y=-3cos(x)

x y^{^{'}} + 2 y = - 3 cos (x)

derivative x^2+6

d er i v a t i v e x^{2} + 6