In this limit, the instantaneous velocity becomes the [[derivative]] of the displacement. In a similar way, the instantaneous speed of an object is the derivative of the object's [[distance]] and as such is the gradient of a distance-time graph.
+
In this limit, the instantaneous velocity becomes the [[Derivative (calculus)|derivative]] of the displacement. In a similar way, the instantaneous speed of an object is the derivative of the object's [[distance]] and as such is the gradient of a distance-time graph.