Use the values in the table below to answer each of the following: X F(x) g ( x ) f'(x) g'( x ) 5 1 - 1 8 3 -2 -3 5 16 7 3 0 6 (a) Let h(x) = (x ) . Find h' (x) . g (x) Ch' ( x ) = f ( x- )g' ( x)- g(x) f' (x2 ) (9 (x) ) 2 Ch' ( x ) = f ( x- )g' ( x) - 2xg(x) f' (x2) (9(x) ) 2 Ch' ( x) = 9( x) f' (x2) -f(x2) g' (x) (g (x) ) 2 Ch' (x) = 2xg(x) f' (x2) -f(x2) g' (x) (g(x) ) 2 h'(4) which tells us that h(x) is (--Select-- + at x = 4. (b) Let p(x) = g(g(x)) . Find p' (x) . C p'(x) = 2g'(g(x))g (x)+g(g(x))g(x) Cp' (x) = g'(g(x))g'(x) Cp' (x) = g'(g(x)) Cp'(x) = 2g'(g(x)) Cp'(x) = g'(g(x))g(x)+g(g(x))g(x)