de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative 2x^3-2x^2+12

Lösung

ableitung von

2 x^{3} - 2 x^{2} + 12

Lösung

6 x^{2} - 4 x

Schritte zur Lösung

\frac{d}{d x} (2 x^{3} - 2 x^{2} + 12)

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (2 x^{3}) - \frac{d}{d x} (2 x^{2}) + \frac{d}{d x} (12)

\frac{d}{d x} (2 x^{3}) = 6 x^{2}

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

\frac{d}{d x} (12) = 0

= 6 x^{2} - 4 x + 0

Vereinfache

= 6 x^{2} - 4 x

Graph

Beliebte Beispiele

limit as x approaches 0 of-2-x

x \to 0 lim (- 2 - x)

(x^2+1)y^'+3x(y-1)=0,y(0)=3

(x^{2} + 1) y^{^{'}} + 3 x (y - 1) = 0, y (0) = 3

derivative of x^2-6x+8

\frac{d}{d x} (x^{2} - 6 x + 8)

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

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

(d^2)/(dx^2)(\sqrt[6]{x})

\frac{d ^{2}}{d x ^{2}} (6 x)