Explanation:
In Physics, many quanitties are the function of other quanitities.
For instance in kinematics, where the displacement (s), position (x), velocity (v) and time (t) of a particle are related.
Suppose the position of a particle can be descirbed as a function of time, i.e.
[tex]x=f(t)[/tex]
then since velocity is the rate of change of position, we write
[tex]v=\dfrac{d}{dt}f(t)=f'(t)[/tex]
which is the derivative of the poisiton/ time function.
On the other hand, the displacement of the particle is the sum of position changes over time, so the displacement can be defined by
[tex]s=\int^{t_1}_{t_0}f(t)dt[/tex]
which is the integration of postion/ time function.
