Derivative:The derivative of a function measures how fast or slow the function is changing at different points. It provides information about slopes, rates of change, and instantaneous velocities.
Rate of Change:Rate of change refers to how much a quantity changes over a given interval. In this context, h'(x) represents the rate at which function h(x) is changing with respect to x.
Instantaneous Velocity: Instantaneous velocity is the speed at which an object is moving at any given moment. Similarly, h'(x) represents the instantaneous rate at which function h(x) is changing at a specific point on its graph.