This topic examines the geometric meaning of derivatives, uses derivatives to find the maximum value of functions, and proves inequalities. Investigate the transformation ideas and students' ability to analyze and solve problems. The question is still a little difficult. Here are the answers. You can think it over and digest it. If you don't know, you can keep asking me.

The following is the answer/exercise/math /804035 function f (x) = AE xlnx+(bex? 1)/x, the tangent equation of curve y=f(x) at points (1, f( 1)) is y = e (x- 1)+2.

(I) find a and b;

(2) proof: f (x) > 1. Come on ~ if it helps, don't forget to adopt it