de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative of 4/((x+2^2))

Lösung

\frac{d}{d x} (\frac{4}{( x + 2 ) ^{2}})

Lösung

- \frac{8}{( x + 2 ) ^{3}}

Schritte zur Lösung

\frac{d}{d x} (\frac{4}{( x + 2 ) ^{2}})

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

= 4 \frac{d}{d x} (\frac{1}{( x + 2 ) ^{2}})

Wende Exponentenregel an:

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

= 4 \frac{d}{d x} ((x + 2)^{- 2})

Wende die Kettenregel an:

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

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

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

= 4 (- \frac{2}{( x + 2 ) ^{3}} \cdot 1)

Vereinfache

4 (- \frac{2}{( x + 2 ) ^{3}} \cdot 1) : - \frac{8}{( x + 2 ) ^{3}}

= - \frac{8}{( x + 2 ) ^{3}}

Graph

Beliebte Beispiele

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

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

limit as x approaches-2 of (2-x)/(2+x)

x \to - 2 lim (\frac{2 - x}{2 + x})

normal y=(x-2)^{2/3},(3,1)

n or ma l y = (x - 2)^{\frac{2}{3}}, (3, 1)

integral of e^{-1/3 x}

\int e^{- \frac{1}{3} x} d x

derivative of cot(e^x)

\frac{d}{d x} (cot (e^{x}))