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Beliebt Rechnen >

d/(dn)((1+i)^n+(1-i)^n)

Lösung

\frac{d}{d n} ((1 + i)^{n} + (1 - i)^{n})

Lösung

(1 + i)^{n} ln (1 + i) + (1 - i)^{n} ln (1 - i)

Schritte zur Lösung

\frac{d}{d n} ((1 + i)^{n} + (1 - i)^{n})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d n} ((1 + i)^{n}) + \frac{d}{d n} ((1 - i)^{n})

\frac{d}{d n} ((1 + i)^{n}) = (1 + i)^{n} ln (1 + i)

\frac{d}{d n} ((1 - i)^{n}) = (1 - i)^{n} ln (1 - i)

= (1 + i)^{n} ln (1 + i) + (1 - i)^{n} ln (1 - i)

Graph

Beliebte Beispiele

derivative of 4/x-1/(x^3)

\frac{d}{d x} (\frac{4}{x} - \frac{1}{x ^{3}})

integral from 1 to 3 of f(2x)

\int_{1}^{3} f (2 x) d x

limit as t approaches 0 of ln(t+1)

t \to 0 lim (ln (t + 1))

y^{''}+6y^'+8y=cos(3t)

y^{^{''}} + 6 y^{^{'}} + 8 y = cos (3 t)

tangent f(x)=5x^3+4x,\at x=-1

t an g e n t f (x) = 5 x^{3} + 4 x, at x = - 1