问题
选择题
设f(x)为可导函数,且满足条件
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答案
∵f(x)为可导函数,且满足条件lim x→0
=3,f(x+1)-f(1) 2x
∴y=f(x)在点(1,f(1))处的切线的斜率为f′(1)=lim x→0
=2 f(x+1)-f(1) x lim x→0
=2×3=6,f(x+1)-f(1) 2x
故选 C.
设f(x)为可导函数,且满足条件
|
∵f(x)为可导函数,且满足条件lim x→0
=3,f(x+1)-f(1) 2x
∴y=f(x)在点(1,f(1))处的切线的斜率为f′(1)=lim x→0
=2 f(x+1)-f(1) x lim x→0
=2×3=6,f(x+1)-f(1) 2x
故选 C.