Hey forum I gotta submit this in a few hours so if anyone could help me with this quick times, you would really be saving me :P 1. The problem statement, all variables and given/known data Given the following graph of h(x) I only need help with part b) which asks for the local minimum or maximum points of the graph http://i43.tinypic.com/hvyrk4.jpg 3. The attempt at a solution So basically I realize there's a horizontal tangent at the point h(2) What I can't decide is if there is neither a minimum nor maximum (my initial thoughts) but then one part of my book reads for ANOTHER graph: f'(x) is never zero, so the function has no local maximums or minimums and we can clearly see that h(x) has a horizontal tangent implying that h'(x) would be zero at h'(2).. so is the point [2,h(2)] both a local minimum and a local maximum Is that even possible for a point to be both a local maximum and a local minimum? if someone could clarify as to why its whichever answer that would be awesome! argh please help!