For f(x) = x8 /9 −x17 /9 find the critical numbers.?
and also: which one is true, which one false?
a) If c is not a critical point of f, then c is not a local minimum of f.
b) If f does not have an absolute maximum on [a,b] then f is not continuous on [a,b].
c) If f has a local maximum or minimum at c, then c is a critical number of f.
d) If f has an absolute maximumon [a,b], then f must be continuous on [a,b].
e) If f has an absolute minimum value at c, then f ′(c)=0.
f) The function f(x)=x3 has a critical point on the interval [−2,2] but g) it does not have a local maximum or local minimum on that interval.
2007-02-25
20:44:09
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1 answers
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asked by
Anonymous
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Mathematics