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At what point does the tangent to the curve y2x3-3x26x have

At what point does the tangent to the curve y=2x³-3x²+6x have the smallest slope? What is the slope of the tangent at this point?

This is an application of derivatives problem with some graphing that I am not sure I did correctly. Can you explain (show) how this should be done.

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Mathematics: At what point does the tangent to the curve y2x3-3x26x have

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Mathematics: At what point does the tangent to the curve y2x3-3x26x have

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