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-3/x)

Lösung

\frac{d}{d x} (\frac{x - 3}{x})

Lösung

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

Schritte zur Lösung

\frac{d}{d x} (\frac{x - 3}{x})

Wende die Quotientenregel an:

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

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

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

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

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

Vereinfache

\frac{1 \cdot x - 1 \cdot ( x - 3 )}{x ^{2}} : \frac{3}{x ^{2}}

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

Graph

Beliebte Beispiele

integral of csc^2(u)

\int csc^{2} (u) d u

integral of sin(1/6 x)

\int sin (\frac{1}{6} x) d x

integral from 1 to 2 of 1/(x^2+3x)

\int_{1}^{2} \frac{1}{x ^{2} + 3 x} d x

integral of 6/(x^2-9)

\int \frac{6}{x ^{2} - 9} d x

integral of (x^2)/((81+x^2)^2)

\int \frac{x ^{2}}{( 81 + x ^{2} ) ^{2}} d x