求y=x+(1-x)½极值点和极值

y=x+(1-x)^(1/2)1-x≥0-1≤x≤1y=x+(1-x)^(1/2)y'=1-(1/2)(1-x)^(-1/2)y'=02(1-x)^(1/2)-1=01-x=1/4x=3/4y'|x=3/4+<0,y'|x=3/4->0x=3/4(max)maxy=y(3/4)=3/4+(1-3/4)^(1/2)=3/4+1/2=5/4追问2(1-x)^...