let s(1) be the set of all critical points of f1(x, y) = g1(x).g2(y) and s(2) be the set of critical points of f2(g1(x), g2(y)) Which of the following is the right relation between s(1) and s(2), given that minimum number of elements in s(1) is 2.
(a) s(1) = s(2)
(b) s(1) ≠ s(2)
(c) s(1) ∩ s(2) ≠ 0
(d) depends on the functions
This question was addressed to me in quiz.
The query is from Maxima and Minima of Two Variables in portion Maxima and Minima of Engineering Mathematics