Correct answers for 13 and 15 and a explanation for 14 and 16

No Calculator --- No Calculator --- No Calculator 13. The table shows the values of the differentiable function f. f (x ) f (x ) If H(x) = f-1(x), find H'(3) n ( x > > f " ( x ) 2 NIF (A) (B) f ( f ( x ) ) -2 2 (C) NIH 3 4 2 14 -- 4 6 4 3,4 2 41 3 14. Given h(x) = f(g(x)), use the graph to the right to find h (4) in a 8 (A) NIH (B) (2, 4) 2 (6) 5) C) CO 1 (D) 5 f ? ( g c x ) ) g ? ( x ) 3 6 ... flyy 15. If f (x) = In(x - !), then f'(x) = aly - 1 - 1 (A) x 2 1+ x 2 (B) x2 +1 x3-1 x 2 (C) 1 - x2 (D) x - 2 X 2 x 3 - x X X 2 X* 16. Find f'(x) for f (x) = (3x2+5)6. (A) f'(x) = 36x(3x2 +5)6 (B) f'(x) = 6(3x2+5)5 Of'(x) = 36x(3x2 + 5)5 (D) f'(x) = 6(6x)5 6 ( 3 x 2+ 5)5. 6x 36x ( 3 x 2 +5)5