Bb Content - Calculus |_204 in two ways: by using the Quotient Rule and by simplifying first. Show that your answers are equivalent. Which method do you prefer? 3-30 Differentiate. 3. y = (4x2 + 3) (2x + 5) 4. y = (10x2 + 7x - 2) (2 - x?) 5. y - x'e' 6. y - (e* + 2)(2e* - 1) 7. f (x) - (3x? - 5x)et 8. g(x) - (x + 2vx) er 9 . y - 10. y - e' 11. g(1) = 3- 21 51 + 1 12. G(u) - 61 - 5u u + 1 in 13. f (1) - 73 - 1 - 1 14. F(X) 23- 62 + 5 y. y - 5- VS 16. y 17. J(W) - (2 + 27) (4 +4 ) vo h(w ) - ( w2 + 3w ) ( w-1 - w-4 ) Vo. H(u ) - ( u - Vu ) ( u + Vu )\feu-central-1-prod-fleet01-xythos.content.blackboardcdn.com Content - Calculus |_204 B https://learn-eu-central-1-p... B https://learn-eu-central-1-p.. x2) in two rming the multi- 20. f(2) = (1 - e')(z + e') 31. V(1) = (1 + 2e') Vi 22. W( 1 ) - e'(1 + re) 23. y = e' ( p + PVP ) 24. hir) de by simplifying 35. f (1 ) = 7 - 3 26. y = (2 + e WE Which method 27. f ( x ) - x24 x 2 + ex 28. F( B- C: 29. f(x) = 30. f(.x) = ax - b atd x + 2)(2ex - 1) 2 v x ) ex 31-34 Find f'(x) and f"(x). 31 . f (x ) = xe' 32. f(x ) = vres 33. f (x) = 72 - 1 34. f(x) = - 1 + - + "tvA-0 sin 9 Cos 8 lim 8-0 0 sin 0 lim 0 - 0 3.3 Exercises 1-22 Differentiate. 13 . f (0 ) sin 0 14. y = - 1. f(x) = 3 sin x - 2-cos x 2. f(x) = tan x - 4 sin x 1 + cos 0 X 3. y = x-+ cot x 4. y = 2 sec x - csc x 15/y 16. f(t) = 2 - tan x 5. h(0) = 02 sin 0 6. g(x) = 3x + x2 cos x 17. f (w ) 1 + sec w 18. y = 1 1 - sec w 7. y = sec 0 tan 0 8. y = sin 0 cos 0 19. y t sin t 20. g(=) = 9. f(0) = (0 - cos 0) sin 0 10. g(0) = e (tan 0 - 0) 1 + t 21. f(0) = 0 cos 0 sin 0 22. f(t) = M. H(t) = cost 12. f(x) = e* sin x + cos x 4 tv