已知函数f(x)=2x^3/3-2ax^2+3x(x属于R).(1)若a=1,点P为曲线y=f(x)上的一个动点,求以点P为切点的切线斜率取最小值时的切线方程(2)若函数y=f(x)在(0,+无穷)上为单调增函数试求满足条件的最大整数a
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![已知函数f(x)=2x^3/3-2ax^2+3x(x属于R).(1)若a=1,点P为曲线y=f(x)上的一个动点,求以点P为切点的切线斜率取最小值时的切线方程(2)若函数y=f(x)在(0,+无穷)上为单调增函数试求满足条件的最大整数a](/uploads/image/z/444798-54-8.jpg?t=%E5%B7%B2%E7%9F%A5%E5%87%BD%E6%95%B0f%28x%29%3D2x%5E3%2F3-2ax%5E2%2B3x%28x%E5%B1%9E%E4%BA%8ER%29.%281%29%E8%8B%A5a%3D1%2C%E7%82%B9P%E4%B8%BA%E6%9B%B2%E7%BA%BFy%3Df%28x%29%E4%B8%8A%E7%9A%84%E4%B8%80%E4%B8%AA%E5%8A%A8%E7%82%B9%2C%E6%B1%82%E4%BB%A5%E7%82%B9P%E4%B8%BA%E5%88%87%E7%82%B9%E7%9A%84%E5%88%87%E7%BA%BF%E6%96%9C%E7%8E%87%E5%8F%96%E6%9C%80%E5%B0%8F%E5%80%BC%E6%97%B6%E7%9A%84%E5%88%87%E7%BA%BF%E6%96%B9%E7%A8%8B%282%29%E8%8B%A5%E5%87%BD%E6%95%B0y%3Df%28x%29%E5%9C%A8%280%2C%2B%E6%97%A0%E7%A9%B7%29%E4%B8%8A%E4%B8%BA%E5%8D%95%E8%B0%83%E5%A2%9E%E5%87%BD%E6%95%B0%E8%AF%95%E6%B1%82%E6%BB%A1%E8%B6%B3%E6%9D%A1%E4%BB%B6%E7%9A%84%E6%9C%80%E5%A4%A7%E6%95%B4%E6%95%B0a)
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