1. The problem statement, all variables and given/known data The function h is differentiable, and for all values of x, h(x)=h(2-x) Which of the following statements must be true? 1. Integral (from 0 to 2) h(x) dx >0 2. h'(1)=0 3.h'(0)=h'(2)=1 A. 1 only B.2 only C. 3 only D. 2 &3 only E. 1,2 &3 2. Relevant equations None that I am aware of 3. The attempt at a solution If h(x) = h(2-x) then h'(x) must also = h'(2-x) Therefore, when x=0, h'(0)=h'(2) However, we cannot say for sure that both = 1. Thus I eliminate any options with '3'. Have been stuck here for a while, please help.