**Unformatted text preview: **MA 160 Section 2.4 Worksheet Name 6:2,. a; mm: mg m
Using Derivatives to Find Absolute Maximum and Minimum Values 1. Consider flx) = x3 +~§mx2 "2x+4 _ i3. 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 :2, (critical off : Q
values values
in interval WhiCh OCCWS at in intervai WhiCh occurs at
and and ‘
endpoints ) X = .3131... end oints X = - ”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 cxtrcmum occurs. Find f'(x) ' Absolute minimum value
libs) :: Ll 3. 7; :3" X ,_ 5217”
K a»: (critical values in - of f z ____&_w
:QKJL(;L¥;_,3) intervaland Q .37
endoints which occurs at x = “ [4% _- mmmmm mmmm mm
Find all critical values: A
3 ‘1»? 0 i of f X1742, ‘m; ,; L). Absolute maximum value ...

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