de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative of (6x-3/(x-3))

Lösung

\frac{d}{d x} (\frac{6 x - 3}{x - 3})

Lösung

- \frac{15}{( x - 3 ) ^{2}}

Schritte zur Lösung

\frac{d}{d x} (\frac{6 x - 3}{x - 3})

Wende die Quotientenregel an:

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

= \frac{\frac{d}{d x} ( 6 x - 3 ) ( x - 3 ) - \frac{d}{d x} ( x - 3 ) ( 6 x - 3 )}{( x - 3 ) ^{2}}

\frac{d}{d x} (6 x - 3) = 6

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

= \frac{6 ( x - 3 ) - 1 \cdot ( 6 x - 3 )}{( x - 3 ) ^{2}}

Vereinfache

\frac{6 ( x - 3 ) - 1 \cdot ( 6 x - 3 )}{( x - 3 ) ^{2}} : - \frac{15}{( x - 3 ) ^{2}}

= - \frac{15}{( x - 3 ) ^{2}}

Graph

Beliebte Beispiele

integral of sin(6t)

\int sin (6 t) d t

derivative of (sin(0.5sqrt(x))/x)

\frac{d}{d x} (\frac{sin ( 0.5 x )}{x})

integral of-(2000x)/((1+x^2))

\int - \frac{2000 x}{( 1 + x ^{2} )} d x

tangent x^2,\at x=2

t an g e n t x^{2}, at x = 2

(\partial)/(\partial x)(3xy^2+20x^2y^3)

\frac{\partial}{\partial x} (3 x y^{2} + 20 x^{2} y^{3})