de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative (x^9-1)^3

Lösung

ableitung von

(x^{9} - 1)^{3}

Lösung

27 x^{8} (x^{9} - 1)^{2}

Schritte zur Lösung

\frac{d}{d x} ((x^{9} - 1)^{3})

Wende die Kettenregel an:

3 (x^{9} - 1)^{2} \frac{d}{d x} (x^{9} - 1)

= 3 (x^{9} - 1)^{2} \frac{d}{d x} (x^{9} - 1)

\frac{d}{d x} (x^{9} - 1) = 9 x^{8}

= 3 (x^{9} - 1)^{2} \cdot 9 x^{8}

Vereinfache

= 27 x^{8} (x^{9} - 1)^{2}

Graph

Beliebte Beispiele

derivative (x^2-6x+1)/(x^2+7)

d er i v a t i v e \frac{x ^{2} - 6 x + 1}{x ^{2} + 7}

derivative of 1/2 e^{x/2}

\frac{d}{d x} (\frac{1}{2} e^{\frac{x}{2}})

y^{^{''}} + 4 y^{^{'}} = 5

integral of 4/x+csc(x)cot(x)

\int \frac{4}{x} + csc (x) cot (x) d x

derivative of (4x/(1+x^2))

\frac{d}{d x} (\frac{4 x}{1 + x ^{2}})