求y=x^2 x>=0,y=-x x

问题描述:

求y=x^2 x>=0,y=-x x

f'+(0)=lim(x→0+)(x^2-0)/(x-0)=0
f'-(0)=lim(x→0-)(-x-0)/(x-0)=-1
f'+(0)≠f'-(0)
∴y在x=0的导数不存在.