In Theorem, if f'(x0) = 0, no conclusion can be drawn about the equilibrium point x0 of x' = f(x). Explain this phenomenon by providing examples of equations x' = ƒ(x) where
(a) f'(x0) = 0 and x0 is unstable, and
(b) f'(x0) = 0 and x0 is asymptotically stable.
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