What is calculus in layman's terms? What is the difference between integration and differentiation?

Differential calculation basically calculates the rate of change. Therefore, the variable 'y' is a function of the variable 'x'.

Well, when a person changes the value of x, the value of y also changes. But what is the rate of change? In other words, when the value of x changes (like dx), how much does the value of y change?

If you know the actual value, this question is easy to answer, but what is it going to find in calculus, what happens to y (dy) if there is unspecified change in x (dx) Is it? Find equations that explain this behavior at each point on the curve

Therefore, it can be said that the differentiation method is a method used to calculate the slope of the curve at each point on the function graph.

Basically you draw a rectangle between the curve and the X axis, then add them all if you want to compute the area under the curve but do not have a direct expression.

This shows that the finer the rectangles, the more accurate the calculation of the area under the curve. For integration, you can add the area of ​​each square after infinitely reducing the rectangle. Since the rectangle is infinitely small, this addition will give us the exact area under the curve. Adding infinitely small rectangles in this way is a complex process called integration or integration.

Calculus is a study of change and it shows how it helps us to understand the larger picture. There are two main areas of calculus: calculus and integral calculus. Calculus is the calculation of the difference. With differential calculation you get a function and you can calculate how fast a dependent variable changes. On the other hand, the integral calculation is a cumulative calculation. Given a function, it will tell you the sum of the various values ​​of the function. Calculating changes in movement is essential to physics

There are two types of calculus, calculus and integral calculus. Differential calculation determines the rate at which the quantity changes over time for independent variables. The new function is called a derived function and the process of determining that the function is called differential. This is the origin of the name of calculus. Integral calculation is a study of two types of integration: uncertainty and certainty. Indefinite integrals are derivatized and involve finding functions from derived functions, as described in the previous paragraph. The definite integral is called the limit and is roughly equivalent to the area under the curve on the Cartesian plane.

Integral Calculation and Differential Equations Integration is the inverse of the derivative by substitution and partial integral, including the standard integral of algebraic expressions, trigonometric functions, exponential functions, hyperbolic functions. Evaluation of definite integral - Determination of planar area defined by curve - Application. Definition of orders and orders of differential equations that form differential equations as an example. General and concrete solutions of differential equations, solutions of various primary and first order differential equations. Application to problems of growth and decline

Calculus is a differential domain focused sub-domain of calculus and is used to describe the rate of change of a very large number. The term "difference" comes from a process called differential. This is the process of finding the derivative of the curve. Calculus is a major problem in calculus. According to interactive mathematics, we use derivatives to determine the maximum and minimum of a particular function (eg cost, strength, amount of material used in buildings, profit, loss etc). Minimize the function, but it is also used to determine how the two related variables change.