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+8)

Lösung

\frac{d}{d x} (\frac{x}{x + 8})

Lösung

\frac{8}{( x + 8 ) ^{2}}

Schritte zur Lösung

\frac{d}{d x} (\frac{x}{x + 8})

Wende die Quotientenregel an:

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

= \frac{\frac{d x}{d x} ( x + 8 ) - \frac{d}{d x} ( x + 8 ) x}{( x + 8 ) ^{2}}

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

\frac{d}{d x} (x + 8) = 1

= \frac{1 \cdot ( x + 8 ) - 1 \cdot x}{( x + 8 ) ^{2}}

1 \cdot (x + 8) - 1 \cdot x = 8

= \frac{8}{( x + 8 ) ^{2}}

Graph

Beliebte Beispiele

integral of (ln(x))/(xsqrt(1+ln(x^2)))

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

derivative y=ln(xsqrt(x^2-1))

d er i v a t i v e y = ln (x x^{2} - 1)

\frac{d y}{d x} = 2 y - 4

derivative of 8x^3-8

\frac{d}{d x} (8 x^{3} - 8)

derivative 5cot(x)

d er i v a t i v e 5 cot (x)