已知函数y=f(x)在点f(x)处可导,则limh→0f(x0+3h)-f(x0-2h)h=()A.f'(x0)B.3f'(x0)C.32f′(x0)D.5f'(x0)-

题目简介

已知函数y=f(x)在点f(x)处可导,则limh→0f(x0+3h)-f(x0-2h)h=()A.f'(x0)B.3f'(x0)C.32f′(x0)D.5f'(x0)-

题目详情

已知函数y=f(x)在点f(x)处可导,则
lim
h→0
f(x0+3h)-f(x0-2h)
h
=(  )
A.f'(x0B.3f'(x0C.
3
2
f′(x0)
D.5f'(x0
题型:单选题难度:中档来源:不详

答案

lim
h→0
f(x0+3h)-f(x0-2h)
h


=5
lim
h→0
f(x0+3h)-f(x0-2h)
5h

=5f'(x0)
故选D.

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