Find all critical points and all inflection points of the

Question

Question: (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 in- flection points?