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    Horizontal tangent lines

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    The graph of f(x) = 2x^3+9x^2-108x+14 has two horizontal tangent lines. Find the two values of x where the tangents occur.

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    Solution Preview

    f(x) = 2x^3+9x^2-108x+14.
    The slope of the tangent line to any function is equal to the first derivative of that ...

    Solution Summary

    Horizontal tangent lines are examined. The solution provides a detailed and step-by-step explanation for the problem.