Hi I have a quick question I'm hoping someone could help me iron out. Below is a homework question I'm working on, and I need help with part (b). The answer it seems to me is "less than", and not "greater than". The reason I say this is because the tangent lines between A to B look steeper than the tangent line at B. However, I'm being told it's grater than. Could someone point out my flaw in thinking, please?
Post-edit: I am rocking like 4 hours of sleep and I'm a little dizzy. I just realized I misread the question. Sorry about taking up space. However, I won't delete it in the event this could help someone.
Post-correction: since the secant line between A and B is steeper than the tangent line at B, the rate of change between A and B is greater than instantaneous rate of change at B.
Special shout out to cnick. Thank you