f(x)在点x处可导,且lim f(x-3h)-f(0)/h =1,则F'(x)=?h-0

来源:学生作业帮助网 编辑:六六作业网 时间:2024/11/24 00:24:10
f(x)在点x处可导,且limf(x-3h)-f(0)/h=1,则F''(x)=?h-0f(x)在点x处可导,且limf(x-3h)-f(0)/h=1,则F''(x)=?h-0f(x)在点x处可导,且li

f(x)在点x处可导,且lim f(x-3h)-f(0)/h =1,则F'(x)=?h-0
f(x)在点x处可导,且lim f(x-3h)-f(0)/h =1,则F'(x)=?h-0

f(x)在点x处可导,且lim f(x-3h)-f(0)/h =1,则F'(x)=?h-0
lim f(x-3h)-f(x)/h
=(-3) lim ( f(x-3h)-f(x) )/(-3h)
=(-3) lim ( f(x-3h)-f(x) )/(-3h -0)
=(-3) f'(x)
即 (-3) f'(x)=1
f'(x)= -1/3