Unformatted text preview: MA 160 Section 2.4 Worksheet Name (it. a; a: 740 m
Using Derivatives to Find Absolute Maximum and Minimum Values 1. Consider f(x) = x3 +~§mx2 "fix—s4 _ b. List all critical values of f c. For each given interval, complete the table and ﬁnd the absolute maximum and minimum values of f on
the given interval : (i) on [—2, 0] (ii) on [—2 ,2} Absolute minimum value Absolute minimum value
X x
(critical of f z a (critical off : Q
values values
in interval WhiCh OCCWS at in intcwai WhiCh 00013? S at
and and ‘
endpoints ) X = .1171... end oints X = W ”1 Absolute maximum value 2:;
Off: 3 ”" off: ic W which occurs at which occurs at 2. Find the absolute maximum and minimum values of f (x) = x4  2x3 011 [—22] and indicate the values
of x at which each extremum occurs. Find f'(x) ' Absolute minimum value
libs) :: Li 3W 7; :3" X ,_ 5217”
X 6;): (critical values in  of f : ___&_,
:QKJL(;L7,;_,3) intervaland Q .37
endoints which occurs at x = “ is? _ Absolute maximum value
Find as critical values: A
3 ‘1»? 0 a of f X1742, a c: [a Absolute maximum value ...
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 Fall '10
 Guyton

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