Differentiate
1. 
2. f = sin(x/3)
3. f = cos(3/x)
4. f = tan3(4x2 - 1)
5. y = sin (¹/2)
Integrate
6. º 3xy dy
7. º (x2 - 3)8 x dx
8. ºsin 3x dx
9. º x cos 4x2 dx
10. 
11. 
12. º sin2 x dx
13. 
14. º tan2 5x dx
15. 
16. 
17. 
Find the area of the region bounded by:
18. y = x2 - x, y = 0, between x=-1 and x=1.
19. y = x2 and x - y + 6 =0
20. x = y2 - y and x = 3 - 2y - y2
5 points Bonus !
If a chicken and a half takes a day and half to lay an egg and a half, how long does it take a chicken to lay a dozen eggs?