ee Response Section 2 (without calculator) may not use your calculator for these questions. consider the function h(x) = a(-2x + 1)5 - b, where a # 0 and b # 0 are constants. A. Find h'(x) and h"(x). (6 points) hi Cl = 6 ac-2x+ 1)"(-2) h " = - you ( - 2x + 1)* ( - 2 ) h" = - 80al - 2x713 B. Show that h is monotonic (that is, that either h always increases or remains constant or is glass h always decreases or remains constant). (12 points) (for to) welt x - 7 Where Was hu ( X ) = 0 + if acd if eco - if 420 since with hever - if a so h (0 ) - - 109 ( 1) 4 - 109 hicol = - 10 a if a co h"(11 = - 109(- 2(1 ) +1) 4 h ( @ 2 0 it 950 - 2Xt/ - 6 if as o hi (11 - - 109 ( - 2 +1) " hill) - - 109 ( - 1) 4 - 2X = - 1 hiin - - 109 C. Show that the x-coordinate(s) of the location(s) of the critical points are independent of a and b. (12 points) Since hi CA) = - log (- 2x+1)9 = 0 6 is constant and - 149 ( 2 * + 1 1 9 - 0 is not a variable - 109 a 's eliminated when you bet hull = 0