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Beliebt Rechnen >

derivative of sqrt(2x+6)

Lösung

\frac{d}{d x} (2 x + 6)

Lösung

\frac{1}{2 x + 6}

Schritte zur Lösung

\frac{d}{d x} (2 x + 6)

Wende die Kettenregel an:

\frac{1}{2 2 x + 6} \frac{d}{d x} (2 x + 6)

= \frac{1}{2 2 x + 6} \frac{d}{d x} (2 x + 6)

\frac{d}{d x} (2 x + 6) = 2

= \frac{1}{2 2 x + 6} \cdot 2

Vereinfache

\frac{1}{2 2 x + 6} \cdot 2 : \frac{1}{2 x + 6}

= \frac{1}{2 x + 6}

Graph

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