.曲线y=-x3+3x2在点(1,2)处的切线方程为( ) A.y=3x-1B.y=-3x+5C.曲线y=-x3+3x2在点(1,2)处的切线方程为( )A.y=3x-1B.y=-3x+5C.y=3x+5D.y=2x
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![.曲线y=-x3+3x2在点(1,2)处的切线方程为( ) A.y=3x-1B.y=-3x+5C.曲线y=-x3+3x2在点(1,2)处的切线方程为( )A.y=3x-1B.y=-3x+5C.y=3x+5D.y=2x](/uploads/image/z/3141914-50-4.jpg?t=%EF%BC%8E%E6%9B%B2%E7%BA%BFy%3D-x3%2B3x2%E5%9C%A8%E7%82%B9%EF%BC%881%2C2%EF%BC%89%E5%A4%84%E7%9A%84%E5%88%87%E7%BA%BF%E6%96%B9%E7%A8%8B%E4%B8%BA%EF%BC%88%E3%80%80%E3%80%80%EF%BC%89+A%EF%BC%8Ey%3D3x-1B%EF%BC%8Ey%3D-3x%2B5C%EF%BC%8E%E6%9B%B2%E7%BA%BFy%3D-x3%2B3x2%E5%9C%A8%E7%82%B9%EF%BC%881%2C2%EF%BC%89%E5%A4%84%E7%9A%84%E5%88%87%E7%BA%BF%E6%96%B9%E7%A8%8B%E4%B8%BA%EF%BC%88%E3%80%80%E3%80%80%EF%BC%89A%EF%BC%8Ey%3D3x-1B%EF%BC%8Ey%3D-3x%2B5C%EF%BC%8Ey%3D3x%2B5D%EF%BC%8Ey%3D2x)
.曲线y=-x3+3x2在点(1,2)处的切线方程为( ) A.y=3x-1B.y=-3x+5C.曲线y=-x3+3x2在点(1,2)处的切线方程为( )A.y=3x-1B.y=-3x+5C.y=3x+5D.y=2x
.曲线y=-x3+3x2在点(1,2)处的切线方程为( ) A.y=3x-1B.y=-3x+5C
.曲线y=-x3+3x2在点(1,2)处的切线方程为( )
A.y=3x-1B.y=-3x+5C.y=3x+5D.y=2x
.曲线y=-x3+3x2在点(1,2)处的切线方程为( ) A.y=3x-1B.y=-3x+5C.曲线y=-x3+3x2在点(1,2)处的切线方程为( )A.y=3x-1B.y=-3x+5C.y=3x+5D.y=2x
:∵y=-x3+3x2∴y'=-3x2+6x,
∴y'|x=1=(-3x2+6x)|x=1=3,
∴曲线y=-x3+3x2在点(1,2)处的切线方程为y-2=3(x-1),
即y=3x-1,
故选A.