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#b4a66eb4-7811-4dd4-871f-e0ad3305d017中等fill_compute导数与单调性导数

25.(2023春•江油市校级期末)已知函数f(x)=ex+ax3(aR)f(x)=e^{x}+ax-3(a\in R),若对于任意的x1x_{1}x2[1x_{2}\in [1+)+\infty )x1<x2x_{1}<x_{2},都有x2f(x1)x1f(x2)<a(x1x2)x_{2}f(x_{1})-x_{1}f(x_{2})<a(x_{1}-x_{2})成立,则aa的取值范围是 ___((-\infty[,]3]3]___.