(ln x)'
=lim dx趋于0
(ln(x+dx)-ln(x))/dx
=lim ln((x+dx)/x)/dx
=lim ln(1+dx/x)/dx
=lim (dx/x)/dx
=1/x
其中：lim x趋于0 ln(1+x)的极限是x
by zhangqiuyan2023 @ 2024-05-09 22:13:02
@[BYR_KKK](/user/802664)
by zhangqiuyan2023 @ 2024-05-09 22:15:05
这种问百度或者gpt就行吧。。
by vflower @ 2024-05-09 23:13:49
就设 $y=\ln x,x=e^y$，求 $\frac{dy}{dx}$。
考虑求这玩意的倒数 $\frac{dx}{dy}=e^y=x$，然后再倒一下。
by Kev1nL1kesCod1ng @ 2024-05-09 23:31:26