This topic examines the monotonicity and application of derivative research function, the comparison of numerical values, and the ability of students to analyze and solve problems by using knowledge comprehensively. The answer is here/exercise/math /804440 for adoption. Honey, this is still very detailed.

π is π, e=2.7 1828 ... is the base of natural logarithm.

(1) Find the monotone interval of function f(x)=lnx/x;

(2) Find the maximum and minimum numbers of six numbers, e 3, e 3, e π, π e, 3 π, π 3;

(3) arrange the six numbers e 3, e 3, e π, π e, 3 π and π 3 in descending order to prove your conclusion.