de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative of (3-2x/(3+2x))

Lösung

\frac{d}{d x} (\frac{3 - 2 x}{3 + 2 x})

Lösung

- \frac{12}{( 3 + 2 x ) ^{2}}

Schritte zur Lösung

\frac{d}{d x} (\frac{3 - 2 x}{3 + 2 x})

Wende die Quotientenregel an:

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

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

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

\frac{d}{d x} (3 + 2 x) = 2

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

Vereinfache

\frac{( - 2 ) ( 3 + 2 x ) - 2 ( 3 - 2 x )}{( 3 + 2 x ) ^{2}} : - \frac{12}{( 3 + 2 x ) ^{2}}

= - \frac{12}{( 3 + 2 x ) ^{2}}

Graph

Beliebte Beispiele

integral of x^4sin(3x)

\int x^{4} sin (3 x) d x

integral of-(x^2+2)e^x

\int - (x^{2} + 2) e^{x} d x

(\partial)/(\partial x)(3^{2y})

\frac{\partial}{\partial x} (3^{2 y})

derivative f(x)=2^{70}

d er i v a t i v e f (x) = 2^{70}

integral of (x^5-3x^2+4)/(sqrt(x))

\int \frac{x ^{5} - 3 x ^{2} + 4}{x} d x