f(x)在点x处可导,且lim f(x-3h)-f(0)/h =1,则F'(x)=?h-0
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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](/uploads/image/z/15699569-41-9.jpg?t=f%28x%29%E5%9C%A8%E7%82%B9x%E5%A4%84%E5%8F%AF%E5%AF%BC%2C%E4%B8%94lim+f%28x-3h%29-f%280%29%2Fh+%3D1%2C%E5%88%99F%27%28x%29%3D%3Fh-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
=(-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
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