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Question: Consider the functions f(x) = x3 , g(x) = x4 , and h(x) = x4.
A. Show that x = 0 is a critical number of each of the functions f, t, and h.
B. Show that the second derivative of each of the functions f, t, and h equals zero at x = 0.
C. Show that f has neither a relative maximum nor a relative minimum at x = 0, that t has a relative minimum at x = 0, and that h has a relative maximum at x = 0.
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