Differentiation of algebraic and trigonometric expressions can be used for calculating rates of change, stationary points and their nature, or the gradient and equation of a tangent to a curve.
From limits to integration, understanding the right method, not memorising formulas, is the real key to scoring higher in JEE ...
There you are in your introductory physics course. The course requirements say that you have to be in Calculus 101 (it's probably not called that) in order to enroll in Physics 101. Why? There are two ...