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Beliebt Rechnen >

derivative of (arctan(3x)^2)

Lösung

\frac{d}{d x} ((arctan (3 x))^{2})

Lösung

\frac{6 arctan ( 3 x )}{9 x ^{2} + 1}

Schritte zur Lösung

\frac{d}{d x} ((arctan (3 x))^{2})

Wende die Kettenregel an:

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

= 2 arctan (3 x) \frac{d}{d x} (arctan (3 x))

\frac{d}{d x} (arctan (3 x)) = \frac{3}{9 x ^{2} + 1}

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

Vereinfache

2 arctan (3 x) \frac{3}{9 x ^{2} + 1} : \frac{6 arctan ( 3 x )}{9 x ^{2} + 1}

= \frac{6 arctan ( 3 x )}{9 x ^{2} + 1}

Graph

Beliebte Beispiele

taylor 1/(x+5),0

t a y l or \frac{1}{x + 5}, 0

f(x)=ln(sin^2(x))

f (x) = ln (sin^{2} (x))

integral of (4x^2-3x)^4(8x-3)

\int (4 x^{2} - 3 x)^{4} (8 x - 3) d x

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\int \frac{1}{5} e^{5 x} d x

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