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#0dd81016-ffcb-4455-85d8-5d698274aa60中等解答题导数压轴题常见模型导数及其应用

10.已知函数f(x)=sinx+tanx2xf(x)=\sin x+\tan x-2x
(1)证明:函数f(x)f(x)(π2,π2)(-\frac{\pi }{2},\frac{\pi }{2})上单调递增;
(2)若x(0,π2)x\in (0,\frac{\pi }{2})f(x)>mx2f(x)>mx^{2},求mm的取值范围.