what is the use of differential and integral calculus? It's application? when is the right time to use it?

Answer 1

Differential calculus is used in optimization. One example is Production/Inventory Control, which decides how much of an item to order depending on ordering costs, holding costs, setup costs, and unit costs. Industrial engineers use this EOQ formula which is found by taking derivatives. Look up Economic Order Quantity (EOQ), youll see how calculus was used to find this very useful tool.

Usually calculus is used in research. Calculus is not used by the lay person on a day to day basis, but their research, which helps thousands of normal people do things easier, requires much calculus to make decisions.

Answer 2

Well there is really no difference between differential and integral calculus...its all just...calculus. As far as knowing the right use of differentiation or integration, its usually pretty obvious. If you are looking for a rate of something, try a derivative, if you are looking for an area or volume then try integration. You can't really say because either can be applied to many different types of problems. For example, in dynamics, the equations of motion are given in the form of differential equations, which are forms of derivatives, etc. however, solving this differential equation involves the use of integration, either analytically or numerically.

Answer 3

Differential and Integral calculus can be used a lot in physics and engineering. I prefer just the math of it all, but the simplest physics example is position, velocity, and accleration. If you have a certain position function, its velocity is found by the position functions' first derivative and the accleration function is found by the second derivative. By the same token, the integral of the accleration function gives the velocity function and the integral of the velocity function gives the position function. Probably the simplest practical example.

Answer 4

They are two different things and are used at different times but as a group they are used when things are changing with time. Since most of us have little need and don't have the data to analyze the changes into a time or distance function, we get little use of them, but any one in engineering or science dealing with forces, velocities, sound, power transmission, etc., has recorded data that can be analyzed.