设函数f(x)=2根号3sinxcosx+2cos^2x+m(1)求函数f(x)的最小正周期及单调递增区间(2)当x∈【0,π/6】时,-4<f(x)<4恒成立,求实数m的取值范围
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![设函数f(x)=2根号3sinxcosx+2cos^2x+m(1)求函数f(x)的最小正周期及单调递增区间(2)当x∈【0,π/6】时,-4<f(x)<4恒成立,求实数m的取值范围](/uploads/image/z/2833070-14-0.jpg?t=%E8%AE%BE%E5%87%BD%E6%95%B0f%28x%29%3D2%E6%A0%B9%E5%8F%B73sinxcosx%2B2cos%5E2x%2Bm%EF%BC%881%EF%BC%89%E6%B1%82%E5%87%BD%E6%95%B0f%EF%BC%88x%EF%BC%89%E7%9A%84%E6%9C%80%E5%B0%8F%E6%AD%A3%E5%91%A8%E6%9C%9F%E5%8F%8A%E5%8D%95%E8%B0%83%E9%80%92%E5%A2%9E%E5%8C%BA%E9%97%B4%EF%BC%882%EF%BC%89%E5%BD%93x%E2%88%88%E3%80%900%2C%CF%80%2F6%E3%80%91%E6%97%B6%2C-4%EF%BC%9Cf%EF%BC%88x%EF%BC%89%EF%BC%9C4%E6%81%92%E6%88%90%E7%AB%8B%2C%E6%B1%82%E5%AE%9E%E6%95%B0m%E7%9A%84%E5%8F%96%E5%80%BC%E8%8C%83%E5%9B%B4)
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