Derivatives

Derivatives

The concept of instantaneous rate of change is fundamental in both mathematics and physics, particularly in describing how a moving object alters its position with respect to time. This rate is captured mathematically through the derivative of a function. The derivative at a point represents the slope of the ta...

The position of a moving object varies with time. The rate at which this position changes at a specific moment is called the instantaneous rate of change.

Mathematically, it's equivalent to the derivative of that function at a point. Derivative is defined as the limit of the difference quotient as the interval approaches zero. It provides ...