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EXERCISES 3.5 Derivatives In Exercises 1-18, find dy / dx. 1. y = -10x + 3 cos x 2. y = *+ 5 sin x 3. y = x2 cos x 4. y = Vx sec x + 3 5. y = csc x - 4Vx + 7 6. y = x- cot x - - 7. f(x) = sin x tan x 8. g(x) = COs x sin~ x 9. y = x sec x + -IX 10. y = (sin x + cos x) sec x cot x COs X 11. y = 1+ cot x 12. y = 1 + sin x 13. y = cos x + 14. y = COs X + tan x cos X 15. y = (sec x + tan x) (sec x - tan x) 16. y = x2 cos x - 2x sin x - 2 cos x 17. f(x) = x3 sin x cos x 18. g(x) = (2 - x) tan2x In Exercises 19-22, find ds / dt. 19. s = tan t - t 20. s = 12 - sect + 1 1 + csc t sin t 21. s = 1 - csc t 22. S = 1 - cost In Exercises 23-26, find dr / de. 23. r = 4 - 02 sin 0 24. r = 0 sin 0 + cos 0 25. r = sec 0 csc 0 26. r = (1 + sec 0) sin 0 In Exercises 27-32, find dp/ dq. 28. p = (1 + csc q) cos q 27. p = 5 + cot q sin q + cos q tan q 29. p = cos q 30. P = 1 + tan q 3q + tan q q sin q 31. P = 2 - 1 32. p = q sec