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Beliebt Rechnen >

derivative of arctan(11x)

Lösung

\frac{d}{d x} (arctan (11 x))

Lösung

\frac{11}{121 x ^{2} + 1}

Schritte zur Lösung

\frac{d}{d x} (arctan (11 x))

Wende die Kettenregel an:

\frac{1}{( 11 x ) ^{2} + 1} \frac{d}{d x} (11 x)

= \frac{1}{( 11 x ) ^{2} + 1} \frac{d}{d x} (11 x)

\frac{d}{d x} (11 x) = 11

= \frac{1}{( 11 x ) ^{2} + 1} \cdot 11

Vereinfache

\frac{1}{( 11 x ) ^{2} + 1} \cdot 11 : \frac{11}{121 x ^{2} + 1}

= \frac{11}{121 x ^{2} + 1}

Graph

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