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Beliebt Rechnen >

(sqrt(x^2-2x+3))^'

Lösung

(x^{2} - 2 x + 3)^{^{'}}

Lösung

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

Schritte zur Lösung

(x^{2} - 2 x + 3)^{'}

Wende die Kettenregel an:

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

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

(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}

Graph

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