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Beliebt Rechnen >

derivative (x^{11}-1)^3

Lösung

ableitung von

(x^{11} - 1)^{3}

Lösung

33 x^{10} (x^{11} - 1)^{2}

Schritte zur Lösung

\frac{d}{d x} ((x^{11} - 1)^{3})

Wende die Kettenregel an:

3 (x^{11} - 1)^{2} \frac{d}{d x} (x^{11} - 1)

= 3 (x^{11} - 1)^{2} \frac{d}{d x} (x^{11} - 1)

\frac{d}{d x} (x^{11} - 1) = 11 x^{10}

= 3 (x^{11} - 1)^{2} \cdot 11 x^{10}

Vereinfache

= 33 x^{10} (x^{11} - 1)^{2}

Graph

Beliebte Beispiele

integral of 1^{-x}

\int 1^{- x} d x

(\partial)/(\partial x)(y*x)

\frac{\partial}{\partial x} (y \cdot x)

limit as x approaches 6 of 2x+3x

x \to 6 lim (2 x + 3 x)

derivative tan^2(9x)

d er i v a t i v e tan^{2} (9 x)

limit as x approaches 4 of sqrt(x^2-9)

x \to 4 lim (x^{2} - 9)