Question: 3. Consider the function h(x) = a(-2x + 1)5 - b, where a # 0 and b # 0 are constants. A. Find h'(x) and

 3. Consider the function h(x) = a(-2x + 1)5 - b,

3. 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) B. Show that h is monotonic (that is, that either h always increases or remains constant or h always decreases or remains constant). (12 points) C. Show that the x-coordinate(s) of the location(s) of the critical points are independent of a and b. (12 points)

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