Answers. Best Answer: An inflection point, or point of inflection (or inflexion) is a point on a curve at which the curvature changes sign. The curve changes from being concave upwards (positive curvature) to concave downwards (negative curvature), or vice versa. To find out the inflection points of a given function, you have to calculate the second derivative of f(x), equal it to zero, and solve the resultant equation... Source(s):