If, for all x, f'(x)=(x-2)^4(x-1)^3, it follows that funtaion f has A. a relative minimum at x=1
B. a relative maximum at x=1
C both a relative minimum at x=1 and relative maximum at x=2
D. relative minima at x=1 and at x=2

We say that f(x) has an absolute (or global) minimum at x=c if f(x)≥f(c) f ( x ) ≥ f ( c ) for every x in the domain we are working on. We say that f(x) has a relative (or local) minimum at x=c iff(x)≥f(c) f ( x ) ≥ f ( c ) for every x in some open interval around x=c .

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42.4

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