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Beliebt Rechnen >

(arctan(3x))^'

Lösung

(arctan (3 x))^{^{'}}

Lösung

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

Schritte zur Lösung

(arctan (3 x))^{'}

Wende die Kettenregel an:

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

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