问题标题:
若lim(h趋于0)[f(0)-f(2h)]/h=1/2则f'(0)=?
更新时间:2024-04-28 00:22:28
问题描述:
若lim(h趋于0)[f(0)-f(2h)]/h=1/2则f'(0)=?
石立岸回答:
lim(h趋于0)[f(0)-f(2h)]/h
=lim(h趋于0)[f(0)-f(2h)]/2h*2
=lim(h趋于0)[f(0)-f(2h)]/(-2h)*(-2)
=f'(0)*(-2)=1/2
则f'(0)=-1/4