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Beliebt Rechnen >

d/(dn)(i^{2n})

Lösung

\frac{d}{d n} (i^{2 n})

Lösung

2 ln (i) i^{2 n}

Schritte zur Lösung

\frac{d}{d n} (i^{2 n})

Wende Exponentenregel an:

a^{b} = e^{b l n (a)}

i^{2 n} = e^{2 n l n (i)}

= \frac{d}{d n} (e^{2 n l n (i)})

Wende die Kettenregel an:

e^{2 n l n (i)} \frac{d}{d n} (2 n ln (i))

= e^{2 n l n (i)} \frac{d}{d n} (2 n ln (i))

\frac{d}{d n} (2 n ln (i)) = 2 ln (i)

= e^{2 n l n (i)} \cdot 2 ln (i)

e^{2 n l n (i)} = i^{2 n}

= 2 ln (i) i^{2 n}

Graph

Beliebte Beispiele

derivative cot(x^4)

d er i v a t i v e cot (x^{4})

derivative x^2(1-m^2)

d er i v a t i v e x^{2} (1 - m^{2})

derivative f(x)=10x^2+5x-2

d er i v a t i v e f (x) = 10 x^{2} + 5 x - 2

derivative 2x-y+1

d er i v a t i v e 2 x - y + 1

derivative t*log_{10}(2t)

d er i v a t i v e t \cdot lo g_{10} (2 t)