Differential
If y = f(x) is a differentiable function, the differential dx is an independent variable and the differential dy is dy = f'(x) dx.
Differential generally refers to the process of finding the derivative of a function. A derivative gives us the rate at which a function is changing at a particular point.
To find the derivative of a function, we use the concept of limits. We consider two points on the function, one very close to the other, and find the rate of change between these points as the distance between them approaches 0. This rate of change is the derivative of the function at that particular point.
The derivative of a function is often denoted by the symbol dy/dx, df/dx or f'(x).
Differential calculus, which deals with derivatives and their applications, is a fundamental part of calculus and is used in many areas of mathematics and science, including physics, engineering, economics, and more.
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