Can you answer question D. Please show work thanks.

17. Consider the following information in the chart. f( x) g(x) f' (x) , g' (x) f" (x) g" (x) 1 2 a. If h(x) = f(x)g(x), find h'(1). (2 points) 16 2 2 L ' ( . ) = f ( 1 ) . 9'( 1 ) - 9 ( 1 ) . P. " ( . ) NI NI 2 L' ( . ) = 2 2 + (- 5 ). (-4) 1 ' ( . ) = 4 +20 Ch' () = 24 b. If h(x) = x.8(f(x)), find h'(1). (3 points) I ' ( A ) = ( 1 ) g ' ( R ( . ) ) P ( . ) + 9 ( F ( 1 ) ) 2 ( 1 ) = g ' ( 2 ) f ' ( 1 ) + 9 ( 2 ) L ' (1 ) = 4. (-4 ) + (-2 ) A ' ( 1 ) = - 16- 2 h' (1) = - 18 c . If h (x ) =e f (x) , find h'(1). Leave your answer in terms of e. (3 points) h ( n ) = f ( n ) h ' ( c * ) _ ex . h' ( P ( n ) 1 ( f (~ ) ) h' ( ) = f / i]. e ! c' f ' ( 1 ) ( f ( . ) ) 2 ( 2 ) 2 = 2 c - e ( - 4 ) (2 1 2 d. Find lim f(2+4x) - f'(2) Ar - 0 Ax (1 point)