YOU MUST CONSTRUCT SIGN CHARTS AS WE DO IN CLASS!!! 1) [10] For the following functions: i) Write a combined f '(x) and f "(x) sign chart for x); ii) Use (i) to sketch a curved graph of f . a) f '(x) = 4(x 2)(x + 6) and f "(x) = 8(x + 2) b) f'(x)=15(x+l)(x3l)3 and f"(x)=30(x4)(x31)2 2) [5] Without drawing sign-chart, but drawing a moustache, use the Second Derivative Test to classify the critical points of f (x) , given the data below: f'(x) = 12(x9)(x 1) f"(x) = 24(x 5)