设y=x22x+e√2,则y´=____.

设y=x22x+e√2,则y´=____.
【正确答案】:x2x+1+x2•2xln2。解析:因为y=x2•2x+e√2,所以y′=(x2)′2x+x2(2x)′+(e√2)′=2x•2x+x2•2xln2=x•2x+1+x22xln2.