0

enter image description here

How do I find the points pointed by the arrow in the graph. I.e. the points where the slope of curve is almost $0$.

Mike Pierce
  • 18,938
pradeepp
  • 1
  • What is the context of this question (are you familiar with calculus)? Do you have any thoughts on how we can approach the problem? – Mike Pierce Feb 24 '15 at 06:59
  • One thing you could try is to approximate, at each point $x_i$, the value of the derivative using forward, backward or central differences. – Claude Leibovici Feb 24 '15 at 07:57

1 Answers1

0

If I understand you correctly, you are looking for values of $x$ at which the slope $f'(x)$ has a local maximum. If the function is second-differentiable, then a necessary condition for $x$ to be such a point is that $f''(x)=0$.

Brent Kerby
  • 5,539