a function has a local maximum at x=-2 and x=6 and a local minimum at x=1. how do u find the concavity of this function and point of inflection??

Answer 1

To find the concavity just graph it or use the first derivative and pick values greater than, or less than your critical points see if those values are positive or negative. IF positive, the graph will concave up, if negative - concave downwards.

To find the points of inflection, find the second derivative and set equal to zero. Once that has been done, plug that X value into the original and it will output a Y value. And that point (X,Y) will be your critical point.

Answer 2

but how do i find point of inflection from the given local max and mins