问题标题:
【已知函数f(x)满足f(x)=f′(1)ex−1−f(0)x+12x2,则f(x)的极值点为______.】
问题描述:
已知函数f(x)满足f(x)=f′(1)ex−1−f(0)x+
蒋外文回答:
f′(x)=f′(1)ex-1-f(0)+x,∴f′(0)=f′(1)e-1-f(0),f′(1)=f′(1)-f(0)+1,解得f(0)=1,∴1=f(0)=f′(1)e-1,解得f′(1)=e.∴f′(x)=ex-1+x,解f′(x)=0,得x=0.解f′(x)>0,...
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