1. Sketch a graph of a function f that is differentiable and that satisfies the following conditions: f'(x)>0, When x1 f'(-5)=0 and f'(1)=0 f(-5)=6 and f(1)=2 [ K4 ]2. Use the algorithm for curve sketching to sketch the following:( Show all steps) [K5,A6] b) Y = -10x3 + 3x2 + 4x + 3 [ K 4, A 5]4. Determine the absolute and local extreme of each function on the given interval. a) f(x) = 2x3 3x2 12:: + 1 ,x 6 [2,0] [A4] bl= JEBM 4x x2+ [A5] 5. Show thaty = 1'3 + 31' + 2satisfies the differential equation 21'" + my\" 2y' = 0- [T4]