函数fx=lnx-x눀 +x求极值详细过程怎么算求极值题

2025-06-22 19:44:39
推荐回答(1个)
回答1:

f(x)=lnx-x² +x
定义域x>0
f′(x) = 1/x-2x+1 = -(2x²-x-1)/x = -(2x+1)(x-1)/x
x<1时↑,x>1时↓
x=1时有极大值f(1) = ln1-1²+1 = 0