Question: A cubic polynomial may have a local min and max, or it may have neither. Find conditions on the coefficients a and b of that

A cubic polynomial may have a local min and max, or it may have neither. Find conditions on the coefficients a and b of
A cubic polynomial may have a local min and max,

that ensure that f has neither a local min nor a local max.

A cubic polynomial may have a local min and max,

f(x) = 3x3 + Zax2 + bx + c 20 30 4 -2 -20 FIGURE 25 Cubic polynomials

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