The derivative of a function is an important tool in mathematics. The motion of derivative was introduced to solve problems of Physics concerning motion of an object. The velocity of an object is a measure of the rate of change of distance with respect to time. Acceleration is a measure of the rate of change of velocity with respect to time. This rate of change is precisely given by the motion of derivative. The derivative is also used to find tangent lines to curves.
The concept of derivative has been applied to other fields as well. A biologist uses it to determine the rate of growth of bacteria in a culture. An economist uses it to solve problems dealing with profits and losses of a company. An electrical engineer uses it to describe the change in current in an electric circuit.