de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative of 2x^2-1/x

Lösung

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

Lösung

4 x + \frac{1}{x ^{2}}

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

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

Vereinfache

= 4 x + \frac{1}{x ^{2}}

Graph

Beliebte Beispiele

integral from 0 to 8 of 1

\int_{0}^{8} 1

limit as x approaches 3 of x^2-4x+10

x \to 3 lim (x^{2} - 4 x + 10)

integral of tan^3(5x)sec(5x)

\int tan^{3} (5 x) sec (5 x) d x

integral of (x-1)/(x^2+x-6)

\int \frac{x - 1}{x ^{2} + x - 6} d x

(x+y)^2dx+(2xy+x^2-3)dy=0,y(1)=1

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