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Unformatted text preview: (c) No, since the left and righthand derivatives at x 5 2 3 are 2 18 and 18, respectively. (d) The critical points occur when f 9 ( x ) 5 0 (at x 5 6 3 w ) and when f 9 ( x ) is undefined (at x 5 0 or x 5 6 3). The minimum value is 0 at x 5 2 3, at x 5 0, and at x 5 3; local maxima occur at ( 2 3 w , 6 3 w ) and ( 3 w , 6 3 w ). 37. [ 2 4, 4] by [ 2 3, 3] y 9 5 x 2/3 (1) 1 } 2 3 } x 2 1/3 ( x 1 2) 5 } 5 3 x 1 3 x w 4 } 38. [ 2 4, 4] by [ 2 3, 3] y 9 5 x 2/3 (2 x ) 1 } 2 3 } x 2 1/3 ( x 2 2 4) 5 } 8 x 3 2 3 2 x w 8 } x , 2 3 or 0 , x , 3 2 3 , x , 0 or x . 3. 2 3 x 2 1 9, 3 x 2 2 9, x # 2 3 or 0 # x , 3 2 3 , x , 0 or x $ 3. 2 x 3 1 9 x , x 3 2 9 x , 130 Section 4.1 crit. pt. derivative extremum value x 5 2 1 minimum 2 3 x 5 undefined local max x 5 1 minimum 2 3 crit. pt. derivative extremum value x 5 2} 4 5 } local max } 1 2 2 5 } 10 1/3 < 1.034 x 5 undefined local min...
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This note was uploaded on 10/05/2011 for the course MAC 1147 taught by Professor German during the Fall '08 term at University of Florida.
 Fall '08
 GERMAN

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