【数学】一道高中导数题,那位给讲讲,已知f(x)=ax^3+bx^2(a大于b 且a不等于0)的图像在点(2,f(2))处的切线与x轴平行.若函数在区间[b,a]上的最大值为a^2-ab,试求a的值
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![【数学】一道高中导数题,那位给讲讲,已知f(x)=ax^3+bx^2(a大于b 且a不等于0)的图像在点(2,f(2))处的切线与x轴平行.若函数在区间[b,a]上的最大值为a^2-ab,试求a的值](/uploads/image/z/10242029-29-9.jpg?t=%E3%80%90%E6%95%B0%E5%AD%A6%E3%80%91%E4%B8%80%E9%81%93%E9%AB%98%E4%B8%AD%E5%AF%BC%E6%95%B0%E9%A2%98%2C%E9%82%A3%E4%BD%8D%E7%BB%99%E8%AE%B2%E8%AE%B2%2C%E5%B7%B2%E7%9F%A5f%28x%29%3Dax%5E3%2Bbx%5E2%28a%E5%A4%A7%E4%BA%8Eb+%E4%B8%94a%E4%B8%8D%E7%AD%89%E4%BA%8E0%29%E7%9A%84%E5%9B%BE%E5%83%8F%E5%9C%A8%E7%82%B9%EF%BC%882%2Cf%282%29%EF%BC%89%E5%A4%84%E7%9A%84%E5%88%87%E7%BA%BF%E4%B8%8Ex%E8%BD%B4%E5%B9%B3%E8%A1%8C.%E8%8B%A5%E5%87%BD%E6%95%B0%E5%9C%A8%E5%8C%BA%E9%97%B4%5Bb%2Ca%5D%E4%B8%8A%E7%9A%84%E6%9C%80%E5%A4%A7%E5%80%BC%E4%B8%BAa%5E2-ab%2C%E8%AF%95%E6%B1%82a%E7%9A%84%E5%80%BC)
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