de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

(\partial)/(\partial x)(sqrt(x^2-2x+3))

Lösung

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

Lösung

\frac{x - 1}{x ^{2} - 2 x + 3}

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

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

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

Beliebte Beispiele

derivative of (4x/3)

fläche 8/(1+x^4),4x^2

y^'+y/t =3cos(2t)

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