In calculus, an inflection point is a point at which the concavity of a function changes from positive (concave upwards) to negative (concave downwards) or vice versa. Inflection points can be found by taking the second derivative and setting it to equal zero. For example, to find the inflection points of
one would take the the derivative:
and take the second derivative:
and set this to equal zero.
This gives the x-value of the inflection point. To find the point on the function, simply substitute this value for x in the original function.