Calculus is the study of Change in mathematical terms, sometimes it is called "mathematics of change." It is a branch of mathematics through which we can easily explain the path of change of one variable relative to another. We know mathematics may have started a long time ago, and it has been improving from the beginning. But if you ask where the birth of modern mathematics is? If the answer is calculus, many scholars may agree. The origin of this new section of mathematics was developed by two famous mathematicians named Sir Isaac Newton and Leibniz. (Article continues below)

They were the first to introduce the concept of this modern mathematics section (calculus) with a combination of algebra, geometry, and trigonometry. Now, in the 21st century, it would never be possible to imagine mathematics or theoretical physics without calculus. Basically, calculus is of two types:

1. Differentiation
2. Integration

## Differentiation

If y = f (x) is a function, then with the help of differentiation, we can find the maximum and minimum values of variable y with respect to x (for any value of x). let's see differentiation from different points of view. In physics, many actions depend on time.

The equations which are based on time need the help of differentiation to solve them, such as:  In a line, the displacement in a point is given, Let t=3; X (t) = 16t ^ 2 + 16t + 32

Then we can determine its velocity with the help of differentiation calculation, X '(t) = 32t + 16And can diagnose acceleration, X ”(t) = 32If we narrate these mathematical terms, we can say: On 3rd second the displacement was x= 224m. on second line, after differentiation; we can say the velocity X ' = 112 m/s. and in the last mathematical line (after two-time differentiation) says, the acceleration of this is 32 m/s^2.

Differentiation is the weapon for calculating the slope of any line; y = f (x) = mx + b, [the real numbers m and b], and the slope will be m = Δy / Δx where the symbol Δ is (the capital letter for the Greek letter Delta). m = Δy / Δx; this symbol means how much change of variable y with respect to variable x. when Δx is so close to zero (o), at that time, we write m= dy/dx.