derivative y=ln(sec(x))

Lösung

ableitung von

y = 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 ((\frac{1}{x})^{x^{2}})

\frac{d}{d x} (e^{- 2 x} (a cos (x) + b sin (x)))

x \to 0 + lim (\frac{6}{sin ( x )})

\frac{d y}{d x} + x y = y

\frac{d}{d x} (cot (7 x))