设函数f(x)= -x^3+3x^2+9x+k(1)求f(x)的单调区间; (2)若f(x)在【0,2】上的最大值为16,求f(x)在该区间上的最小值;
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![设函数f(x)= -x^3+3x^2+9x+k(1)求f(x)的单调区间; (2)若f(x)在【0,2】上的最大值为16,求f(x)在该区间上的最小值;](/uploads/image/z/11485499-59-9.jpg?t=%E8%AE%BE%E5%87%BD%E6%95%B0f%EF%BC%88x%EF%BC%89%3D+-x%5E3%2B3x%5E2%2B9x%2Bk%EF%BC%881%EF%BC%89%E6%B1%82f%EF%BC%88x%EF%BC%89%E7%9A%84%E5%8D%95%E8%B0%83%E5%8C%BA%E9%97%B4%EF%BC%9B+%EF%BC%882%EF%BC%89%E8%8B%A5f%EF%BC%88x%EF%BC%89%E5%9C%A8%E3%80%900%2C2%E3%80%91%E4%B8%8A%E7%9A%84%E6%9C%80%E5%A4%A7%E5%80%BC%E4%B8%BA16%2C%E6%B1%82f%EF%BC%88x%EF%BC%89%E5%9C%A8%E8%AF%A5%E5%8C%BA%E9%97%B4%E4%B8%8A%E7%9A%84%E6%9C%80%E5%B0%8F%E5%80%BC%EF%BC%9B)
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