Question: (a) Find all critical points and all inflection points of the function f(x) = x 4 2ax 2 + b. Assume a and b

(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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a We set the derivative equal to zero and solve for x to find critical points fx 4x 3 4ax 0 4xx 2 a ... View full answer

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