Use the values in the table below to answer each of the following: X f(x) g (x ) f ' ( x ) g '( x ) f " ( x ) -2 1 -1 4 3 3 2 3 -2 -4 -2 3 1 3 2 1 4 2 (a) Let p(x) = f(x)g(x). Find p '(0) = Does p(x) have a horizontal tangent at x = 0? ---Select--- v (b) Let y(x) = flg(x) ). Find the slope of y(x) at x = 0. y ' (0 ) = Find the equation of the tangent line to y(x) at x = 0. Use y for the dependent va (c) Let v(x) = (f(x) )2. Find the value of v "(0). V " (0 ) = Is v(x) concave up or concave down at x = 0? --Select--- V (d) Let r(x) = 9( x) x3 Find the exact value of r '(1). F '(1) =