The phrase 'meets the curve again' refers to inflection. So, I would start by understanding that wherever the tangent line to a graph crosses the graph, . There is a proof of this fact here:
Second derivative test - Wikipedia, the free encyclopedia
Suppose g(x) has a second derivative g''(x) at all points of an interval I. Prove that if the tangent to the curve y=g(x) at a in I meets the curve again at some other point b>a in I then g''(x)=0 somewhere between a and b...
I seriously dont know where to begin
The phrase 'meets the curve again' refers to inflection. So, I would start by understanding that wherever the tangent line to a graph crosses the graph, . There is a proof of this fact here:
Second derivative test - Wikipedia, the free encyclopedia