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    Tangent line

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    What is the y coordinate of the point on the curve y = 2x^2 - 3x at which the slope of the tangent line is the same as that of the secant line between x = 1 and x = 2?

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    Solution Preview

    dy/dx = 4x - 3

    the secant line b/w x=1 and x=2...

    y(x=2) = 8-6 = ...

    Solution Summary

    This shows how to find the point on the curve where the tangent line is the same as the given secant line.