15. If f(x) = (x - 1)( x-+2) , thenf'(x) = A. 6x ( x2 + 2 ) C. ( x2 + 3x - 1) (12 + 2 ) E. - 3( x - 1) (x2 + 2 ) 2 B. 6x(x - 1)(x2 +2 ) D. (7x 3 - Gx +2) (17 +2 ) 16. The table gives values of the differentiable functions f and g and their derivatives at selected values of x. If h(x) = : f(x) g(x) . what is the slope of the tangent line to the graph of h(x) at x = 2? f (x) 8(x) f'(x) 8' (x) -5 3 0 0 -2 0 1 0 -3 0 0.5 2 5 -1 5 2 A. -15 B. -15 4 C. 15 D. 3. NIU 17. Use the same table as in the previous question. If h(x) =f(g(x)), what is the slope of the tangent to h(x) at x = 2? A. -10 B. -6 C. 5 D. 6 E. 10 18. If f (x ) = e then f '( x ) = A. 2ex In( x ) B . /x ) C . D. 2 E. -2xze 19. The slope of the line tangent to the curve y' + (xy + 1)' =0 at (2,-1) is A. -3/2 B. -3/4 C. 0 D. 3/2 E. 3/4