Use the values in the table below to answer each of the following: (a) Let p(x) = f(x)g(x). Find p '(0):_________ Does p(x) have a horizontal tangent at x =

0? (b) Let y(x) = (g(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 variable. (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? (d) Let r(x) =g(x)/x^3 Find the exact value of r '(1). r '(1) =___________