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+1^2))

Lösung

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

Lösung

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

Schritte zur Lösung

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

Wende Exponentenregel an:

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

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

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

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

Graph

Beliebte Beispiele

derivative of 8/(2x)

(\partial)/(\partial y)(e^{cos(x-2y)})

derivative of ln(1-8x)

derivative y=\sqrt[3]{x^2}

x(dy)/(dx)-y=3x^4