Question: Determine whether or not x = 0 is a point of relative extrema of the following functions: (a) f(x) := x3 + 2. (b) g(x)

Determine whether or not x = 0 is a point of relative extrema of the following functions:
(a) f(x) := x3 + 2.
(b) g(x) := sin x - x.
(c) h(x) := sin x + 1/6 x3.
(d) k(x) := cos x - 1 + 1/2 x2:

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