设f(x)=x^2 x≥3或ax+b x<3,试确定a,b的值,使f在x=3

2025-02-24 10:29:30
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回答1:

f(x)=x^2, x≥3
ax+b ,x<3

f(x)在X=3可导则f'_(3)=f'+(x),可得a=6

f(x)在X=3可导,则f(x)在X=3连续,即f(x)在X=3的左右连续相等,即b=-9