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-x^2+1

Lösung

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

Lösung

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

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

\frac{d}{d x} (1) = 0

= - \frac{2}{x ^{2}} - 2 x + 0

Vereinfache

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

Graph

Beliebte Beispiele

integral of x(e^{x^2}-1)

\int x (e^{x^{2}} - 1) d x

y^{''}-5y^'=25t

y^{^{''}} - 5 y^{^{'}} = 25 t

integral from sqrt(3) to 3 of 6/(9+x^2)

\int_{3}^{3} \frac{6}{9 + x ^{2}} d x

integral of 3t^3(t^2+4)^5

\int 3 t^{3} (t^{2} + 4)^{5} d t

integral of 1/((a-x)^2)

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