An Extreme Point Comparison

★ 6/10functions Extrema calculus Polynomials

Problem

Let $a \neq 0$ , and suppose $x = a$ is a local maximum point of

f(x) = a(x - a)^2(x - b).

Determine the relationship between $ab$ and $a^2$ , with proof.

Answer

Solution

Difficulty	6/10
Topics	functions, Extrema, calculus, Polynomials

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