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Beliebt Rechnen >

derivative arctan(3x)

Lösung

ableitung von

arctan (3 x)

Lösung

\frac{3}{9 x ^{2} + 1}

Schritte zur Lösung

\frac{d}{d x} (arctan (3 x))

Wende die Kettenregel an:

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

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

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

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

Vereinfache

\frac{1}{( 3 x ) ^{2} + 1} \cdot 3 : \frac{3}{9 x ^{2} + 1}

= \frac{3}{9 x ^{2} + 1}

Graph

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