de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative of ((1-5x)/((1+5x)))

Lösung

\frac{d}{d x} (\frac{( 1 - 5 x )}{( 1 + 5 x )})

Lösung

- \frac{10}{( 1 + 5 x ) ^{2}}

Schritte zur Lösung

\frac{d}{d x} (\frac{( 1 - 5 x )}{( 1 + 5 x )})

Wende die Quotientenregel an:

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

= \frac{\frac{d}{d x} ( 1 - 5 x ) ( 1 + 5 x ) - \frac{d}{d x} ( 1 + 5 x ) ( 1 - 5 x )}{( 1 + 5 x ) ^{2}}

\frac{d}{d x} (1 - 5 x) = - 5

\frac{d}{d x} (1 + 5 x) = 5

= \frac{( - 5 ) ( 1 + 5 x ) - 5 ( 1 - 5 x )}{( 1 + 5 x ) ^{2}}

Vereinfache

\frac{( - 5 ) ( 1 + 5 x ) - 5 ( 1 - 5 x )}{( 1 + 5 x ) ^{2}} : - \frac{10}{( 1 + 5 x ) ^{2}}

= - \frac{10}{( 1 + 5 x ) ^{2}}

Graph

Beliebte Beispiele

(dy)/(dx)=y(1-0.0002y)

\frac{d y}{d x} = y (1 - 0.0002 y)

derivative ln(x^2+4)

d er i v a t i v e ln (x^{2} + 4)

limit as x approaches 0 of 2f(x)-1

x \to 0 lim (2 f (x) - 1)

y^{''}+16y=4t^2

y^{^{''}} + 16 y = 4 t^{2}

integral of (x^4+9)/(x^2+9x^2)

\int \frac{x ^{4} + 9}{x ^{2} + 9 x ^{2}} d x