- #1

MisterMan

- 47

- 0

_{0}say, I require to check the value of y'' at either side of the value x

_{0}, and if the value of y'' changes sign ( from positive to negative or vice versa ) then an inflection point exists at x

_{0}.

The problem I am having is that my lecturer said when checking the sign at either side of x

_{0}, you choose values a little bit smaller and a little bit larger than x

_{0}. I don't understand why this is needed, I believe his explanation to be that there might be local maxima/minima that alter the value of y'' or something, but I'm not totally sure if that is what he said or why it is necessary to choose values close to x

_{0}as even if that was what he said, we calculate the minima/maxima prior to working out the possible inflection points. I hope I have made myself clear and any help is appreciated.