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Beliebt Rechnen >

derivative (x^2-2x)^3

Lösung

ableitung von

(x^{2} - 2 x)^{3}

Lösung

3 (x^{2} - 2 x)^{2} (2 x - 2)

Schritte zur Lösung

\frac{d}{d x} ((x^{2} - 2 x)^{3})

Wende die Kettenregel an:

3 (x^{2} - 2 x)^{2} \frac{d}{d x} (x^{2} - 2 x)

= 3 (x^{2} - 2 x)^{2} \frac{d}{d x} (x^{2} - 2 x)

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

= 3 (x^{2} - 2 x)^{2} (2 x - 2)

Graph

Beliebte Beispiele

derivative in(x^2)

d er i v a t i v e in (x^{2})

integral from 0 to c of 10e^{2x}

\int_{0}^{c} 10 e^{2 x} d x

integral of (3/(x^3))

\int (\frac{3}{x ^{3}}) d x

\frac{d}{d t} (e^{i t})

(dx)/(dt)=sin(2pi(t+3))

\frac{d x}{d t} = sin (2 π (t + 3))