Because it is calculated as the limiting value of the change divided by the time taken for the change, the limit being taken as the time interval becomes infinitesimally small. That is how the derivative with respect to time is defined.
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The purpose of finding a derivative is to find the instantaneous rate of change. In addition, taking the derivative is used in integration by parts.
The first derivative is the rate of change, and the second derivative is the rate of change of the rate of change.
Derivatives are used to find instantaneous rate at which a function changes.
A derivative is to the rate of change asan integral is to area/volume.
The rate of change of position is the velocity. The velocity at a specific point in time is called the instantaneous velocity.