Instructions There are 10 questions in this Assessment Opportunity. For full marks, show all work for each question. 1. Find the derivative. a. y = sin x b. y = sin x C. y = cos(4x + 9) d. y = cos (x* + 3) e. y = x sin(x + 5) f. y = 5e g. y = e h. y = xe 3r+1 i. y = In(x + 3) j. y = 5 ln (x + 4) k. y = 5' 1. y = (x + 2) (x2 + 2x + 1)3 m. y = In(sin x) n. y = (x + Inx)2. Find the equation of the tangent line to the function y = In (x - 2) when x = 3. 3. Find the equation of the tangent line to the curve y = cos x when x = . Your solution should use radian measure. 4. Find the intervals of increasing/decreasing for the function f(x) = xe* 5. Find the minimum value(s) of the function f (x) = e - 2x. 6. The position of a particle as it moves horizontally is described by the given equation s = sint - cost, 0