de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative of x+9/x

Lösung

\frac{d}{d x} (x + \frac{9}{x})

Lösung

1 - \frac{9}{x ^{2}}

Schritte zur Lösung

\frac{d}{d x} (x + \frac{9}{x})

Wende die Summen-/Differenzregel an:

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

= \frac{d x}{d x} + \frac{d}{d x} (\frac{9}{x})

\frac{d x}{d x} = 1

\frac{d}{d x} (\frac{9}{x}) = - \frac{9}{x ^{2}}

= 1 - \frac{9}{x ^{2}}

Graph

Beliebte Beispiele

tangent y=9+3x+6xe^x

t an g e n t y = 9 + 3 x + 6 x e^{x}

derivative of 6\sqrt[3]{x^2}

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

limit as x approaches 1/8 of 1/x-x^{-1}

x \to \frac{1}{8} lim (\frac{1}{x} - x^{- 1})

integral of x^2(x+2)

\int x^{2} (x + 2) d x

integral from 0 to 1 of xe^{8x}

\int_{0}^{1} x e^{8 x} d x