derivative of sqrt(11arctan(x))

Lösung

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

\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 )}

\int \frac{1}{tan ( u )} d u

x \to \infty lim (1 - x)

l a pl a ce t r an s f or m sin (2 (t - \frac{5 π}{2}))

\frac{d}{d x} (6 - 9 x)

d er i v a t i v e f (x) = e^{4 x} cos (7 x)