3.2 Exercises In Exercises 1-30, find the derivative of each function. . 1. f(x) = 2x(x2+ 1 7. f (x ) = (x3 - 1 ) (x+ 1 ) 2. f (x) = 3x2(x - 1) 8. f (x) = (x3 - 12x) (3x2 + 2x) 3 . f ( t ) = (t - 1 ) ( 2+ + 1 ) 9. f (w ) = ( w 3 " - w 2 + w - 1 ) ( w 2 + 2 ) 4 . f ( x ) = ( 2x + 3 ) ( 3x - 4 ) 10 . f ( x ) = =x+ ( 2 2.+ 1 ) (12 - x - 1 ) + 28 5 . f ( x ) = ( 3x + 1 ) ( x 2 - 2 ) 11. f(x) = (5x2 + 1)(2V/x- 1) 6. f (x ) = (x + 1) (2x2 - 3x + 1) 12. f ( t ) = ( 1 + Vt ) ( 2+2 - 3 ) 178 CHAPTER 3 DIFFERENTIATION 13 . f ( x ) = (22 - 5x + 2) ( x - 2 ) 14 . f ( * ) = ( 23 + 2x + 1 ) ( 2 + 7 ) 15 . f ( x ) = = 3 X - 2 16. g(x) = 2x + 4 17. f (x) = 2x - 1 18. f(t) = 1 - 2t 2x + 1 1 + 3 t 1 19. f(x ) = 2+ 1 20. f(2 ) $ 2 2 + 1 21. f(s) = 52 - 4 22. f(x) = x - 2 s + 1 2+ 1 23. f ( x ) = ~ _ Vx + 1 24. f (x) = x2+1 Vx *+ 2 x + 1 25. f ( x ) = - x2+x+ 1 26. f(x) = 2x2 + 2x + 3 (x + 1) (x2+ 1 ) 27. f (x ) = x - 2 28. f ( x) = (32 2 - 1) ( 12 - x x - 1 29. f(x) = 2 - 4 +4