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Beliebt Rechnen >

derivative of 2sqrt(x-2)

Lösung

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

Lösung

\frac{1}{x - 2}

Schritte zur Lösung

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

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

= 2 \frac{d}{d x} (x - 2)

Wende die Kettenregel an:

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

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

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

= 2 \cdot \frac{1}{2 x - 2} \cdot 1

Vereinfache

2 \cdot \frac{1}{2 x - 2} \cdot 1 : \frac{1}{x - 2}

= \frac{1}{x - 2}

Graph

Beliebte Beispiele

integral from 1 to 3 of (x^2+2x-3)

\int_{1}^{3} (x^{2} + 2 x - 3) d x

integral of (x+4)/(x^2+9x-10)

\int \frac{x + 4}{x ^{2} + 9 x - 10} d x

derivative f(x)=-2/(x^3)

d er i v a t i v e f (x) = - \frac{2}{x ^{3}}

sum from n=0 to infinity of (n/(n+2))^2

n = 0 \sum \infty (\frac{n}{n + 2})^{2}

integral of x\sqrt[8]{64+x^2}

\int x 8 64 + x^{2} d x