derivative y=ln(sec(x))

解答

导数

y = ln (sec (x))

tan (x)

求解步骤

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

使用连锁律:

\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)

化简

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

= tan (x)