derivative of ln(ln(sec(2x)))

Lösung

\frac{d}{d x} (ln (ln (sec (2 x))))

\frac{2 tan ( 2 x )}{ln ( sec ( 2 x ) )}

Schritte zur Lösung

\frac{d}{d x} (ln (ln (sec (2 x))))

Wende die Kettenregel an:

\frac{1}{ln ( sec ( 2 x ) )} \frac{d}{d x} (ln (sec (2 x)))

= \frac{1}{ln ( sec ( 2 x ) )} \frac{d}{d x} (ln (sec (2 x)))

\frac{d}{d x} (ln (sec (2 x))) = 2 tan (2 x)

= \frac{1}{ln ( sec ( 2 x ) )} \cdot 2 tan (2 x)

Vereinfache

\frac{1}{ln ( sec ( 2 x ) )} \cdot 2 tan (2 x) : \frac{2 tan ( 2 x )}{ln ( sec ( 2 x ) )}

= \frac{2 tan ( 2 x )}{ln ( sec ( 2 x ) )}

d er i v a t i v e y = 3 x + \frac{4}{x}

\frac{d u + 2 d v}{u + 2 v} = 0

x \to 2 lim (3 x^{2} - 2 x + 1)

d er i v a t i v e f (x) = \frac{7 x ^{2} + 7 x + 7}{x}

t an g e n t y = (x^{(3)} - 4 x)^{(12)} (2)