设函数f(x)=ax^3+bx^2+cx,记f(x)的导函数是f'(x).1,当a=1,b=c=-1时,求函数f(x)的单调区间; 2,当c=-a^2(a>0)时,若函数f(x)的两个极值点X1,x2满足|x1-x2|=2,求b的取值范围; 3,若a=-1/3,令h(x)=|f'(x)|,记h(x)在[-1,1]上
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![设函数f(x)=ax^3+bx^2+cx,记f(x)的导函数是f'(x).1,当a=1,b=c=-1时,求函数f(x)的单调区间; 2,当c=-a^2(a>0)时,若函数f(x)的两个极值点X1,x2满足|x1-x2|=2,求b的取值范围; 3,若a=-1/3,令h(x)=|f'(x)|,记h(x)在[-1,1]上](/uploads/image/z/14882063-23-3.jpg?t=%E8%AE%BE%E5%87%BD%E6%95%B0f%28x%29%3Dax%5E3%2Bbx%5E2%2Bcx%2C%E8%AE%B0f%28x%29%E7%9A%84%E5%AF%BC%E5%87%BD%E6%95%B0%E6%98%AFf%27%28x%29.1%2C%E5%BD%93a%3D1%2Cb%3Dc%3D-1%E6%97%B6%2C%E6%B1%82%E5%87%BD%E6%95%B0f%28x%29%E7%9A%84%E5%8D%95%E8%B0%83%E5%8C%BA%E9%97%B4%EF%BC%9B+2%2C%E5%BD%93c%3D-a%5E2%28a%3E0%29%E6%97%B6%2C%E8%8B%A5%E5%87%BD%E6%95%B0f%28x%29%E7%9A%84%E4%B8%A4%E4%B8%AA%E6%9E%81%E5%80%BC%E7%82%B9X1%2Cx2%E6%BB%A1%E8%B6%B3%7Cx1-x2%7C%3D2%2C%E6%B1%82b%E7%9A%84%E5%8F%96%E5%80%BC%E8%8C%83%E5%9B%B4%EF%BC%9B+3%2C%E8%8B%A5a%3D-1%2F3%2C%E4%BB%A4h%28x%29%3D%7Cf%27%28x%29%7C%2C%E8%AE%B0h%28x%29%E5%9C%A8%5B%EF%BC%8D1%2C1%5D%E4%B8%8A)
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