10.11.Solutions by hand WS 2.4_Page_1

10.11.Solutions by hand WS 2.4_Page_1 - MA 160 Section 2.4...

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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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