Please provide explanations for the problems, underlined in blue, with the exponential. The exponential is making it difficult for me

FIGURE 3.26 The function sin (x ) oscillates only lates. Its maximum slope is 7 / 180 at x - O (Example 8). on EXERCISES 3.6 Derivative Calculations In Exercises 1-8, given y = f(u) and u = g(x), find dy/ dx = 25. y = x2 sin* x + xcos 2x 26. y = x sin 'x - - cos dy / dx = f'(8(x))8'(x). 1. y = 6u - 9, u = (1/2)x4 2. y = 2w3, u = 8x - 1 27. y = 10(3x - 2)6 + 4 2x 2 3. y = sinu, u = 3x + 1 4. y = cos u, u = 3 28. y = (5 - 2x) 3+8 x + 5. y = Vu, u = sin x 6. y = sinu, u = x - cos x 29. y = (4x + 3)4(x + 1)-3 30. y = (2x - 5)-1(x2 Z y = tanu, u = 1x2 8. y = -secu, u = x + 7x 31. h(x) = x tan (2Vx) + 7 32. k(x) = x2 sec X In Exercises 9-18, write the function in the form y = f(u) and u = g(x). Then find dy / dx as a function of x. tan 3x 33. f(x) = V7 + x sec x 34. 8(x) = 9. y = (2x + 1)5 (x* + 7 ) 4 10. y = (4 - 3x)' sin 0 11. y = 1 X) -7 Vx 1 - 1 ) -10 36. 8(t) = 1 + sin 35. f(0) = 1 + cos 0 3 - 12. y = 2 13. y = 37. r = sin (02) cos (20) 38. r = sec VOtan c - 81 14. y = V3x2 - 4x + 6 40. q = cot sin t 15. y = sec (tan x) 39. q = sin 16. y = cot |7 - Vi+ 17. y = tan'x 18. y = 5cos 4 x In Exercises 41-58, find dy / dt. Find the derivatives 19_10 41. y = sin? (it - 2) 42. y = sec2 Tit