f(x)=xe^(-x)f'(x) = -xe^(-x) + e^(-x) =0e^(-x)(-x+1)=0x=1f''(x) = xe^(-x)- e^(-x) - e^(-x) =xe^(-x) -2e^(-x)f''(1) <0 ( max)maxf(x) = f(1) = e^(-1)单调区间减小= [1,+无穷)增加= (-无穷,1]