Concavity can also be used to determine the [[maxima]] and [[minima]] of functions by means of the Second Derivative Test. Simply put, one can apply the second derivative to determine the concavity of '''critical points''', or points where a maxima or minima can occur. If the point is concave down, then the point must be a maximum, and if it is concave up, it must be a minimum. | Concavity can also be used to determine the [[maxima]] and [[minima]] of functions by means of the Second Derivative Test. Simply put, one can apply the second derivative to determine the concavity of '''critical points''', or points where a maxima or minima can occur. If the point is concave down, then the point must be a maximum, and if it is concave up, it must be a minimum. |