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Beliebt Rechnen >

derivative of sqrt(11arctan(x))

Lösung

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

Lösung

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

Schritte zur Lösung

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

Wende die Kettenregel an:

\frac{1}{2 11 arctan ( x )} \frac{d}{d x} (11 arctan (x))

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

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

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

Vereinfache

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

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

Graph

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