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Beliebt Rechnen >

derivative of 4sqrt(x-3)

Lösung

\frac{d}{d x} (4 x - 3)

Lösung

\frac{2}{x - 3}

Schritte zur Lösung

\frac{d}{d x} (4 x - 3)

Entferne die Konstante:

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

= 4 \frac{d}{d x} (x - 3)

Wende die Kettenregel an:

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

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

\frac{d}{d x} (x - 3) = 1

= 4 \cdot \frac{1}{2 x - 3} \cdot 1

Vereinfache

4 \cdot \frac{1}{2 x - 3} \cdot 1 : \frac{2}{x - 3}

= \frac{2}{x - 3}

Graph

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