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  • 5 years ago

Properties of cubics: Consider the general cubic polynomial f(x)=x^3+ax^2+bx+c, where a,b, and c are real numbers. a.Prove that f has exactly one local min. and one local max. provided that a^2>3b b. Prove that f has no extreme values if a^2<3b. c. Prove that for all real values of a,b,and c, the function has exactly one inflection point. Where is the inflection point located?

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  1. anonymous
    • 5 years ago
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    I got the answer of C, but im confused about part a and b :(

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