Derivatives

Definition

Derivatives are the rates at which quantities change. They measure how a function behaves as its input (x-value) changes.

Related terms

Tangent Line:

A tangent line is a straight line that touches a curve at only one point and has the same slope as the curve at that point.

Rate of Change:

Rate of change refers to how quickly one quantity changes in relation to another quantity.

Instantaneous Velocity: Instantaneous velocity is the derivative of position with respect to time. It represents an object's velocity at an exact moment in time.