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/(2x-3)

Lösung

\frac{d}{d x} (\frac{1}{2 x - 3})

Lösung

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

Schritte zur Lösung

\frac{d}{d x} (\frac{1}{2 x - 3})

Wende Exponentenregel an:

\frac{1}{a} = a^{- 1}

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

Wende die Kettenregel an:

- \frac{1}{( 2 x - 3 ) ^{2}} \frac{d}{d x} (2 x - 3)

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

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

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

Vereinfache

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

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

Graph

Beliebte Beispiele

derivative f(x)=(3x+2)/(x+1)

derivative 1/2 (6t+3)^{-1/2}

fläche x^2-7x-26,-x^2+3x+2

y^'=x(x-1)(x-5)

integral of y/(1+x^2y^2)