de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative of 2(x^3-x^4)

Lösung

\frac{d}{d x} (2 (x^{3} - x)^{4})

Lösung

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

Schritte zur Lösung

\frac{d}{d x} (2 (x^{3} - x)^{4})

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

= 2 \frac{d}{d x} ((x^{3} - x)^{4})

Wende die Kettenregel an:

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

= 4 (x^{3} - x)^{3} \frac{d}{d x} (x^{3} - x)

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

= 2 \cdot 4 (x^{3} - x)^{3} (3 x^{2} - 1)

Vereinfache

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

Graph

Beliebte Beispiele

derivative of x^2-xy+y^2

\frac{d}{d x} (x^{2} - x y + y^{2})

integral from 0 to 1 of (63)/(4y-1)

\int_{0}^{1} \frac{63}{4 y - 1} d y

derivative e^x(3x^2-6x+6)

d er i v a t i v e e^{x} (3 x^{2} - 6 x + 6)

limit as x approaches 0-of 7-2sqrt(x)

x \to 0 - lim (7 - 2 x)

integral of 3x^3-5x^2+3x+4

\int 3 x^{3} - 5 x^{2} + 3 x + 4 d x