de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative y=arctan(x^2+1)

Lösung

ableitung von

y = arctan (x^{2} + 1)

Lösung

\frac{2 x}{x ^{4} + 2 x ^{2} + 2}

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

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

= \frac{2 x}{x ^{4} + 2 x ^{2} + 2}

Graph

Beliebte Beispiele

integral of 1/((2-x)(3-x))

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

limit as x approaches 5 of (x-25)/(x-5)

x \to 5 lim (\frac{x - 25}{x - 5})

x y d x + y^{2} d y = 0

derivative f(x)=x^3-4x+6

d er i v a t i v e f (x) = x^{3} - 4 x + 6

derivative of (x^2/(1+e^x))

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