已知函数f(x)=(1/4)x^4+x^3-(9/2)x^2+cx有三个极值点,若存在c,使函数f(x)在区间(a,a+2)上单调递减,求a的取值范围
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![已知函数f(x)=(1/4)x^4+x^3-(9/2)x^2+cx有三个极值点,若存在c,使函数f(x)在区间(a,a+2)上单调递减,求a的取值范围](/uploads/image/z/7116007-31-7.jpg?t=%E5%B7%B2%E7%9F%A5%E5%87%BD%E6%95%B0f%28x%29%3D%281%2F4%29x%5E4%2Bx%5E3-%289%2F2%29x%5E2%2Bcx%E6%9C%89%E4%B8%89%E4%B8%AA%E6%9E%81%E5%80%BC%E7%82%B9%2C%E8%8B%A5%E5%AD%98%E5%9C%A8c%2C%E4%BD%BF%E5%87%BD%E6%95%B0f%28x%29%E5%9C%A8%E5%8C%BA%E9%97%B4%28a%2Ca%2B2%29%E4%B8%8A%E5%8D%95%E8%B0%83%E9%80%92%E5%87%8F%2C%E6%B1%82a%E7%9A%84%E5%8F%96%E5%80%BC%E8%8C%83%E5%9B%B4)
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