Are critical values and inflection points the same?

Inflection points occur when the rate of change in the slope changes from positive to negative or from negative to positive. ... Critical points occur when the slope is equal to 0 ; that is whenever the first derivative of the function is zero. A critical point may or may not be a (local) minimum or maximum.

What do critical points include?

Definition and Types of Critical Points • Critical Points: those points on a graph at which a line drawn tangent to the curve is horizontal or vertical. Polynomial equations have three types of critical points- maximums, minimum, and points of inflection. The term 'extrema' refers to maximums and/or minimums.