de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative of arctan(2x+1)

Lösung

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

Lösung

\frac{1}{2 x ^{2} + 2 x + 1}

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

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

= \frac{1}{2 x ^{2} + 2 x + 1}

Graph

Beliebte Beispiele

derivative of x^2-4x+9

\frac{d}{d x} (x^{2} - 4 x + 9)

y^{''}+4y^'+4y=e^{-2x}+x^2

y^{^{''}} + 4 y^{^{'}} + 4 y = e^{- 2 x} + x^{2}

(dy)/(dx)=13x^{12}y

\frac{d y}{d x} = 13 x^{12} y

derivative of arcsin((x-2/1))

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

integral from 2 to 6 of pi(y-2)2

\int_{2}^{6} π (y - 2) 2 d y