Please complete 11,37,51

11. g(x) = 4x 1/1 - 253 12. h(z) = 3206 + 2-25 43. f'() = seer (secr + tant). -7/2 0, f(1) =0. f(2) = 0 22. h(x) = sectx + # cosx 54. "(x) - cos x, /(0) - 1, S'(0) - 2. "(0) - 3 23. f(r) = - 55. Given that the graph of f passes through the point (2, 5) and that the slope of its tangent line at (x, f(x)) is 24. g(v) = 2 cos 3 - 4x, find f(1). 56. Find a function / such that /'(x) = x) and the line 25. f(x) = 21 + 4 sinh x 26. f(x) = 2x- + 5 + y = 0 is tangent to the graph of f. x3 + 1 57-58 The graph of a function / is shown. Which graph is an antiderivative of f and why? A 27-28 Find the antiderivative F of f that satisfies the given condition. Check your answer by comparing the graphs of f 58. and F. 27. f(x) = 2e' - 6x, F(0) = 1 28. f(x) = 4 - 3(1 + x3), F(1) =0 29-54 Find f. 29. "(x) = 24x 59. The graph of a function is shown in the figure. Make a 30. "(1) = 1 -4 rough sketch of an antiderivative F, given that F(0) = 1. 31. f"(x) - 4x3 + 24x - 1 32. "(x) = 6x - x4 + 3x5 33. f"(x) = 2x + 3e 34. "(x) = 1/x x20 35. f"(1) = 12 + sint 36. "(1) = VT - 2 cost 37. f'(x) = 8x'+ -, x>0, f(1) = -3 60. The graph of the velocity function of a particle is shown 38. /'(x) = vx - 2, /(9) =4 in the figure. Sketch the graph of a position function