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/(x+10)

Lösung

\frac{d}{d x} (\frac{x}{x + 10})

Lösung

\frac{10}{( x + 10 ) ^{2}}

Schritte zur Lösung

\frac{d}{d x} (\frac{x}{x + 10})

Wende die Quotientenregel an:

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

= \frac{\frac{d x}{d x} ( x + 10 ) - \frac{d}{d x} ( x + 10 ) x}{( x + 10 ) ^{2}}

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

\frac{d}{d x} (x + 10) = 1

= \frac{1 \cdot ( x + 10 ) - 1 \cdot x}{( x + 10 ) ^{2}}

1 \cdot (x + 10) - 1 \cdot x = 10

= \frac{10}{( x + 10 ) ^{2}}

Graph

Beliebte Beispiele

integral of ((x+5)/(x^2+11x+18))

\int (\frac{x + 5}{x ^{2} + 11 x + 18}) d x

limit as x approaches 0 of sqrt(1+x)

x \to 0 lim (1 + x)

integral of+(arcsin(x))^2

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

integral of (x^2)/(x+7)

\int \frac{x ^{2}}{x + 7} d x

y^{''}-2y^'-15y=e^{3x}cos(2x)

y^{^{''}} - 2 y^{^{'}} - 15 y = e^{3 x} cos (2 x)