19. Consider the following table of values of the functions f (x) and g(x) and their...

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19. Consider the following table of values of the functions f (x) and g(x) and their derivatives at various points. x 1 2 3 4 f(x) 3 4 1 2 f'(x) -4 -6 -9 -8 g(x) 3 4 2 1 g'(x) 5/9 4/9 8/9 1 Answer parts (i) through (iv). (i) Find h'(4), if h(x)= f(x)+g(x). The value of h' (4) is: (A) less than -6 (B) between -6 and -2 (C) between -2 and 2 (D) between 2 and 6 (E) more than 6 (B) between -6 and -2 (C) between -2 and 2 (E) more than 6 (ii) Find j'(1), if j(x)= f(x)g(x). The value of j' (1) is: (A) less than -6 (D) between 2 and 6 (iii) Find k' (2), if k(x)=- The value of k' (2) is: (A) less than -6 (D) between 2 and 6 (B) between -6 and -2 (C) between -2 and 2 (E) more than 6 (iv) Find m'(3), if m(x) = g(f(x)). The value of m' (3) is: (A) less than -6 (B) between -6 and -2 (C) between -2 and 2 (D) between 2 and 6 (E) more than 6 19. Consider the following table of values of the functions f (x) and g(x) and their derivatives at various points. x 1 2 3 4 f(x) 3 4 1 2 f'(x) -4 -6 -9 -8 g(x) 3 4 2 1 g'(x) 5/9 4/9 8/9 1 Answer parts (i) through (iv). (i) Find h'(4), if h(x)= f(x)+g(x). The value of h' (4) is: (A) less than -6 (B) between -6 and -2 (C) between -2 and 2 (D) between 2 and 6 (E) more than 6 (B) between -6 and -2 (C) between -2 and 2 (E) more than 6 (ii) Find j'(1), if j(x)= f(x)g(x). The value of j' (1) is: (A) less than -6 (D) between 2 and 6 (iii) Find k' (2), if k(x)=- The value of k' (2) is: (A) less than -6 (D) between 2 and 6 (B) between -6 and -2 (C) between -2 and 2 (E) more than 6 (iv) Find m'(3), if m(x) = g(f(x)). The value of m' (3) is: (A) less than -6 (B) between -6 and -2 (C) between -2 and 2 (D) between 2 and 6 (E) more than 6