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Beliebt Rechnen >

derivative of (arctan(9x)^2)

Lösung

\frac{d}{d x} ((arctan (9 x))^{2})

Lösung

\frac{18 arctan ( 9 x )}{81 x ^{2} + 1}

Schritte zur Lösung

\frac{d}{d x} ((arctan (9 x))^{2})

Wende die Kettenregel an:

2 arctan (9 x) \frac{d}{d x} (arctan (9 x))

= 2 arctan (9 x) \frac{d}{d x} (arctan (9 x))

\frac{d}{d x} (arctan (9 x)) = \frac{9}{81 x ^{2} + 1}

= 2 arctan (9 x) \frac{9}{81 x ^{2} + 1}

Vereinfache

2 arctan (9 x) \frac{9}{81 x ^{2} + 1} : \frac{18 arctan ( 9 x )}{81 x ^{2} + 1}

= \frac{18 arctan ( 9 x )}{81 x ^{2} + 1}

Graph

Beliebte Beispiele

d/(dt)(acos(10t)+bsin(10t))

\frac{d}{d t} (a cos (10 t) + b sin (10 t))

integral from 0 to 1 of (1/(sqrt(x)))

\int_{0}^{1} (\frac{1}{x}) d x

derivative of 89sqrt(x)

\frac{d}{d x} (89 x)

steigung (6x)/(x+5)

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\int e^{x} 41 + e^{x} d x