已知函数f(x)=1/3x^3+bx^2+cx(b,c∈R)且函数f(x)在区间(-1,1)上单调递增,在区间(1,3)单调递减.1.若b=-2求c的值2.当b=-2时,求f(x)在区间【-1,3】上的最大最小值
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![已知函数f(x)=1/3x^3+bx^2+cx(b,c∈R)且函数f(x)在区间(-1,1)上单调递增,在区间(1,3)单调递减.1.若b=-2求c的值2.当b=-2时,求f(x)在区间【-1,3】上的最大最小值](/uploads/image/z/7622283-3-3.jpg?t=%E5%B7%B2%E7%9F%A5%E5%87%BD%E6%95%B0f%28x%29%3D1%2F3x%5E3%2Bbx%5E2%2Bcx%28b%2Cc%E2%88%88R%29%E4%B8%94%E5%87%BD%E6%95%B0f%28x%29%E5%9C%A8%E5%8C%BA%E9%97%B4%28-1%2C1%29%E4%B8%8A%E5%8D%95%E8%B0%83%E9%80%92%E5%A2%9E%2C%E5%9C%A8%E5%8C%BA%E9%97%B4%281%2C3%29%E5%8D%95%E8%B0%83%E9%80%92%E5%87%8F.1.%E8%8B%A5b%3D-2%E6%B1%82c%E7%9A%84%E5%80%BC2.%E5%BD%93b%3D-2%E6%97%B6%2C%E6%B1%82f%28x%29%E5%9C%A8%E5%8C%BA%E9%97%B4%E3%80%90-1%2C3%E3%80%91%E4%B8%8A%E7%9A%84%E6%9C%80%E5%A4%A7%E6%9C%80%E5%B0%8F%E5%80%BC)
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