Solve problem 36, 38, and 50

24. lim logio(x 5x + 6) 25-42 Differentiate the function. 25. f(x) = x' + 5 26. g(x) = x sin(21) 27. G() = 40/s 28. F(t) = 3 cos 21 29. L(v) = tan (4"? ) 30. G(u) = (1+ 10 ) 31. f(x) = log2(1 - 3x) 32. f (x) = log lovx 33. y =x log4 sin x 34. y = log2 (x logs x) 35. yx 36. y 37. yx 38. y(Vx ) 39. y =(cos x) 40. y = (sin x) Inx 41. y = (tan x) 42. y = (In x)cos x 43. Find an equation of the tangent line to the curve y = 10" at the point (1, 10). 44. If f(x) = xcos*, find f'(x). Check that your answer is rea- sonable by comparing the graphs of f and f'. 45-50 Evaluate the integral. 45. 25 ds 46. (x3 + 5" ) dx 47. log10 x - dx 48. x2* dx X 49. 3 sine cos e de 2 * 50. - dx 2" + 1