A function is continuous on and differentiable at every point in that interval except…

MATHEMATICS · Subjective · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

A function gg is continuous on (0,6)(0,6) and differentiable at every point in that interval except possibly where noted. Its graph has a horizontal tangent at x=2x=2, a vertical tangent at x=4x=4, and no other points in (0,6)(0,6) where the tangent is horizontal or vertical. List all xx-values in (0,6)(0,6) that are critical numbers of gg.

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