de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative of 3x^2+1/(x^2)

Lösung

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

Lösung

6 x - \frac{2}{x ^{3}}

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

= 6 x - \frac{2}{x ^{3}}

Graph

Beliebte Beispiele

integral of-1/(x-4)

\int - \frac{1}{x - 4} d x

tangent 4x-32sqrt(x),\at x=4

t an g e n t 4 x - 32 x, at x = 4

integral from-1 to 1 of x^4

\int_{- 1}^{1} x^{4} d x

sum from n=1 to infinity of n^4(1+n^5)

n = 1 \sum \infty n^{4} (1 + n^{5})

derivative of (1+x^n)

\frac{d}{d x} ((1 + x)^{n})