Positive Second Derivative

Definition

A positive second derivative means that the rate of change of the slope of a function is increasing. In other words, the function is getting steeper at an increasing rate.

Related terms

Concave Up:

This term refers to a graph that opens upwards, indicating a positive second derivative.

Increasing Acceleration: This term refers to the fact that the rate at which something's acceleration increases over time.

Convexity: This term refers to the property of being curved outwards or having a "hill-like" shape on its graph.