derivative ln(sec(x))

Lösung

ableitung von

ln (sec (x))

tan (x)

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

= \frac{1}{sec ( x )} sec (x) tan (x)

Vereinfache

\frac{1}{sec ( x )} sec (x) tan (x) : tan (x)

= tan (x)

x \to 0 lim (x^{2} cos (\frac{6}{x}))

\frac{d}{d x} ((1 + 4 x^{3}) (1 + 2 x^{2}))

\frac{\partial}{\partial s} (s + 2 t)

d er i v a t i v e 9 x^{2} - x^{3}

x \to 3 lim (\frac{x ^{2} - 9}{x - 3})