8C . Determine the derivative for each of the foilowing functions. [3K each) a) y = (x2 + 1)(.a.:3 + 1) b) y = ax + 3) C) __ 3x1 d) _ x4 y _ 2x+1 y _ 15.:2 B) y = lg f) y = (4x + 1)5(3 + x - x2)3. . Determine 3: at x = 2 for y = 0.5112 + 311 where u = 4Wr3 + 2x + 1. (4 A) 2 . Determine the equation of the tangent to the curve y = x+2 at the x'-3x2+1 point where x = 1. (5T) Explain the steps of your solution. (3C) . Determine the points on the curve y = in? + ixz x + 5 where the tangent is horizontal. (4T) . The cost, in dollars, of producing x units of a certain commodity is 0.05 C(x) 6000 + 10x + (PS) cost when x = 2. {3A} 2 Find the instantaneous rate of change of the