rQuestion 51 and 58 thx

- V41 + 1, find f"(2). 50. If g(0) = 0 sin 0, find g"( 17/6). 51. Find y" if x6 + y6 = 1. 52. Find f() (x) if f (x) = 1/(2 - x). 53. Use mathematical induction to show that if f(x) = xe*, then f(") (x) = (x + n)ex. 54. Evaluate lim 1-0 tan'(2t) 55-59 IIII Find an equation of the tangent to the curve at the given point. 55. y = 4 sin'x, (7/6, 1) X2 - 1 56. y = (0, -1) x2 + 1 ' Love 57. y = V1 + 4 sin x, (0, 1) 58. 2 + 4xy + y? = 13, (2, 1) 59. y = (2 + x)ex, (0, 2)