25/07/2026
A function, f(x), is a rule that assigns exactly one output to every input.
Derivative : df(x)/dx or f′(x)
The derivative measures the instantaneous rate of change of a function. It tells you how steep the curve is at a specific point.
Integral : ∫f(x) dx
The integral measures the accumulated quantity of a function. Over an interval, it represents the area under the curve.
Every equation becomes more meaningful when you know what it represents. The derivative helps describe how things change, while the integral helps measure the total effect of that change. Together, they form the core of calculus and appear throughout physics, engineering, economics, and many other fields.