derivative y=(arctan(6x))^2

Lösung

ableitung von

y = (arctan (6 x))^{2}

\frac{12 arctan ( 6 x )}{36 x ^{2} + 1}

Schritte zur Lösung

\frac{d}{d x} ((arctan (6 x))^{2})

Wende die Kettenregel an:

2 arctan (6 x) \frac{d}{d x} (arctan (6 x))

= 2 arctan (6 x) \frac{d}{d x} (arctan (6 x))

\frac{d}{d x} (arctan (6 x)) = \frac{6}{36 x ^{2} + 1}

= 2 arctan (6 x) \frac{6}{36 x ^{2} + 1}

Vereinfache

2 arctan (6 x) \frac{6}{36 x ^{2} + 1} : \frac{12 arctan ( 6 x )}{36 x ^{2} + 1}

= \frac{12 arctan ( 6 x )}{36 x ^{2} + 1}

\frac{\partial}{\partial x} (cos (12 x) sin (4 y))

in v erse l a pl a ce \frac{( - 3 )}{s ( s - 3 )}

\int (\frac{2 x}{1 + x ^{4}}) d x

\int cot^{2} (4 x) d x

d er i v a t i v e f (x) = e^{x} + x^{e}