已知函数f(x)=(a+1)lnx+ax^2+1 描述:(1)讨论f(x)的单调性.已知函数f(x)=(a+1)lnx+ax^2+1描述:(1)讨论f(x)的单调性.(2)设a<-1,如果对任意x1,x2∈(0,+∞),|f(x1)-f(x2)|≥4|x1-x2|,求a的取值范围.
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![已知函数f(x)=(a+1)lnx+ax^2+1 描述:(1)讨论f(x)的单调性.已知函数f(x)=(a+1)lnx+ax^2+1描述:(1)讨论f(x)的单调性.(2)设a<-1,如果对任意x1,x2∈(0,+∞),|f(x1)-f(x2)|≥4|x1-x2|,求a的取值范围.](/uploads/image/z/5915661-69-1.jpg?t=%E5%B7%B2%E7%9F%A5%E5%87%BD%E6%95%B0f%28x%29%3D%28a%2B1%29lnx%2Bax%5E2%2B1+%E6%8F%8F%E8%BF%B0%3A%281%29%E8%AE%A8%E8%AE%BAf%28x%29%E7%9A%84%E5%8D%95%E8%B0%83%E6%80%A7.%E5%B7%B2%E7%9F%A5%E5%87%BD%E6%95%B0f%28x%29%3D%28a%2B1%29lnx%2Bax%5E2%2B1%E6%8F%8F%E8%BF%B0%3A%281%29%E8%AE%A8%E8%AE%BAf%28x%29%E7%9A%84%E5%8D%95%E8%B0%83%E6%80%A7.%282%29%E8%AE%BEa%EF%BC%9C-1%2C%E5%A6%82%E6%9E%9C%E5%AF%B9%E4%BB%BB%E6%84%8Fx1%2Cx2%E2%88%88%280%2C%2B%E2%88%9E%29%2C%7Cf%28x1%29-f%28x2%29%7C%E2%89%A54%7Cx1-x2%7C%2C%E6%B1%82a%E7%9A%84%E5%8F%96%E5%80%BC%E8%8C%83%E5%9B%B4.)
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