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+x^2^2)

Lösung

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

Lösung

4 x (1 + x^{2})

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

= 4 x (1 + x^{2})

Graph

Beliebte Beispiele

implicit (d^2y)/(dx^2),xy+7ey(x)=7e

im pl i c i t \frac{d ^{2} y}{d x ^{2}}, x y + 7 ey (x) = 7 e

derivative of (2xcos(x^2)/(sin(x^2)+1))

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

integral of x/(x^2-16)

\int \frac{x}{x ^{2} - 16} d x

(x+y)(dy)/(dx)=1

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

fläche-x^2+9,-2x^2+18

a re a - x^{2} + 9, - 2 x^{2} + 18