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Beliebt Rechnen >

derivative (x^2-x)^3

Lösung

ableitung von

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

Lösung

3 (x^{2} - x)^{2} (2 x - 1)

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

\frac{d}{d x} (x^{2} - x) = 2 x - 1

= 3 (x^{2} - x)^{2} (2 x - 1)

Graph

Beliebte Beispiele

d/(dh)(0.606*h^3+0.27*h^2+0.12*h)

\frac{d}{d h} (0.606 \cdot h^{3} + 0.27 \cdot h^{2} + 0.12 \cdot h)

derivative (2x^2-4x+1)(6x-5)

d er i v a t i v e (2 x^{2} - 4 x + 1) (6 x - 5)

derivative ln(2x^2)

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

derivative 1/((r+t))

d er i v a t i v e \frac{1}{( r + t )}

derivative 1/((2x))

d er i v a t i v e \frac{1}{( 2 x )}