Extrema on an Interval

Extrema on an Interval

1. Find any critical numbers of the function(similar to p.209 #12)

24 18)( xxxf

2. Find any critical numbers of the function(similar to p.209 #13)

32 2)( xxxf

3. Find any critical numbers of the function(similar to p.209 #14)

5

2)(

x

xxf

4. Find any critical numbers of the function(similar to p.209 #14)

20

cossin)( 2

x

xxxf

5. Find any critical numbers of the function(similar to p.209 #17)

xexxf 32)(

6. Locate the absolute extrema of the function on the closed interval

(similar to p.209 #21-42) NEXT TIME SPRING 2013

5,0,62)( 3 xxxf

7. Locate the absolute extrema of the function on the closed interval

(similar to p.209 #21-42)

5,2,5

)(

x

xxf

8. Locate the absolute extrema of the function on the closed interval

(similar to p.209 #21-42)

2,0,sin2)( xxf

9. Locate the absolute extrema of the function on the closed interval

(similar to p.209 #21-42)

8,0,4

cos)(

x

xf

10. Locate the absolute extrema of the function on the closed interval

(similar to p.209 #21-42)

]4,0(,ln2x

xy