answer the following

Basic Rules of Differentiation Find the indicated derivatives in Problems 1-18. 1. f'(x) for f(x) = 7 2. dx dy 3. dx for y = x9 4. y' for y = x6 d 5. 6. g'(x) for g(x) = x5 7. y' for y = x dy 8. x - for y = x-8 9. g'(x) for 8(x) = x813 10. f'(x) for f(x) = x9/2 dx 11. ~ for y = =10 12. y' for y = =12 13. f'(x) for f(x) = 5x2 14. " (-2x3 ) 15. y' for y = 0.4x] 16. f'(x) for f(x) = 0.8.x4 17. d x dy dx 18 18. dx for y = 25COS-MATH-161_Applied Calculus Spring 2022 Find the indicated derivatives in Problems 25-48. 25. - a (2x - 5) dx " (-4x + 9 ) 26. 27. f'(t) if f(1) = 212 - 31 + 1 dy 28. if y = 2 + 51 - 813 29. y' for y = 5x 2 + 9x-1 30. 8'(x) if 8(x) = 5x-7 - 2x 4 ( 510.3 - 4122 ) 2. - (2145 - 3.1u + 13.2) 33. h'(t) if h(t) = 2.1 + 0.51 - 1.13 34. F'(t) if F(t) = 0.213 - 3.1t + 13.2 35. y' if y = 5.x 4 36. w' if w = Su2 d 3x 37. dx 2 3x2) 43. h'(t) if h(t) = 3 6 13/5 71/2 d 5x3 2 dx 4 5x 3 44. F'(t) if F(1) = 5 8 1/5 73/ 2 39. G'(w) if G(w) = = 5 gap+ + 5 V w 45. y' if y = - VX 40. H'(w) if H(w) = -- 2Vw 46. w' if w = 10 . du(3423 - 517/3) dx (= - 3.2x 2 + x) 42. -(813/4 + 41-1/4) 48. 2 2.8x-3 _ 0.6 + 7)