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^2-4/x)

Lösung

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

Lösung

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

Schritte zur Lösung

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

Wende die Quotientenregel an:

(\frac{f}{g})^{'} = \frac{f ^{'} \cdot g - g ^{'} \cdot f}{g ^{2}}

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

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

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

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

Vereinfache

\frac{2 xx - 1 \cdot ( x ^{2} - 4 )}{x ^{2}} : \frac{x ^{2} + 4}{x ^{2}}

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

Graph

Beliebte Beispiele

integral of (x^4-1)/(x^2+1)

\int \frac{x ^{4} - 1}{x ^{2} + 1} d x

integral of (sec^2(x)-4)

\int (sec^{2} (x) - 4) d x

taylor x^{-2},4

t a y l or x^{- 2}, 4

integral of 5/(4x)

\int \frac{5}{4 x} d x

integral of e^{-x-1}

\int e^{- x - 1} d x