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Beliebt Rechnen >

derivative of sqrt(1+9x)

Lösung

\frac{d}{d x} (1 + 9 x)

Lösung

\frac{9}{2 1 + 9 x}

Schritte zur Lösung

\frac{d}{d x} (1 + 9 x)

Wende die Kettenregel an:

\frac{1}{2 1 + 9 x} \frac{d}{d x} (1 + 9 x)

= \frac{1}{2 1 + 9 x} \frac{d}{d x} (1 + 9 x)

\frac{d}{d x} (1 + 9 x) = 9

= \frac{1}{2 1 + 9 x} \cdot 9

Vereinfache

\frac{1}{2 1 + 9 x} \cdot 9 : \frac{9}{2 1 + 9 x}

= \frac{9}{2 1 + 9 x}

Graph

Beliebte Beispiele

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x \to 4 lim (\frac{3 x}{4} + 2)

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