(a) Find all critical points and all inflection points of the function f(x) = x4 2ax2

Chapter 0, Problem 27

(choose chapter or problem)

(a) Find all critical points and all inflection points of the function f(x) = x4 2ax2 +b. Assume a and b are positive constants. (b) Find values of the parameters a and b if f has a critical point at the point (2, 5). (c) If there is a critical point at (2, 5), where are the inflection points?

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