设f(x)=|ln|x||,求f'(x)

问题描述:

设f(x)=|ln|x||,求f'(x)

当|x|≥1时,f(x)=ln|x|当00=lim[x→1+] lnx/(x-1)=lim[x→1+] ln(1+x-1)/(x-1)分子用等价无穷小代换为x-1=lim[x→1+] (x-1)/(x-1)=1lim[x→1-] [f(x)-f(1)]/(x-1)=lim[x→1-] |lnx|/(x-1) 注:lnx...