derivative of (arctan(4x)^2)

Lösung

\frac{d}{d x} ((arctan (4 x))^{2})

\frac{8 arctan ( 4 x )}{16 x ^{2} + 1}

Schritte zur Lösung

\frac{d}{d x} ((arctan (4 x))^{2})

Wende die Kettenregel an:

2 arctan (4 x) \frac{d}{d x} (arctan (4 x))

= 2 arctan (4 x) \frac{d}{d x} (arctan (4 x))

\frac{d}{d x} (arctan (4 x)) = \frac{4}{16 x ^{2} + 1}

= 2 arctan (4 x) \frac{4}{16 x ^{2} + 1}

Vereinfache

2 arctan (4 x) \frac{4}{16 x ^{2} + 1} : \frac{8 arctan ( 4 x )}{16 x ^{2} + 1}

= \frac{8 arctan ( 4 x )}{16 x ^{2} + 1}

d er i v a t i v e f (x) = 4 - x, x = - 2, x = 3, y = 0

l a pl a ce t r an s f or m t^{3} e^{- 2 t} - 3 cos (5 t)

\int x^{2} - 8 d x

\int (5 x^{2} - 12 x) e^{2 x} d x

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