This topic examines the geometric meaning of derivatives, uses derivatives to study the basic knowledge and skills of functions, such as monotonicity extreme value and maximum value, and examines the thinking method of classified discussion.

The first question can be obtained by using the geometric meaning of derivative; Secondly, the classification of A is discussed. When a≤ 1/2,

Solution: (1) f' (x) = a/x+(1-a) x-b (x >; 0), the detailed answer is here/exercise/math /8040 19. Think about it after reading it. If you don't understand, you can keep asking me. Let f (x) = alnx+(1-a) x2/2-bx (a is not equal to1) and curve y.

(1) find b;

(2) If x0 exists, f (x0)

If you think it is helpful, I hope to adopt it! Come on ~