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Asked Sep 25, 2019

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What is differential calculus? And what is the best example to understand it?

Step 1

Differential calculus:

Differential calculus is subfield of calculus.

In the calculus it has two major branches: **Differential calculus **and** integral calculus.**

** **

In this field we study the rate of change of one quantity (dependent) quantity with respect to another (independent).

** **

Differential equations, derivatives, and applications of derivatives are part of **Differential calculus**. The derivative of the function is defined as the rate of change of functions with respect to the given values.

Hence,** Differential calculus** is the study of **rates of change** of functions, using the tools of limits and derivatives.

Step 2

**There are some real-life applications of differential calculus are:**

- Calculation of profit and loss with respect to business using graphs.
- Calculation of the rate of change of the temperature
- Calculation of speed or distance covered such as miles per hour, kilometres per hour, etc.
- Healthcare: Cancer chemotherapy, disease epidemic.
- Computer network: disaster management, product or services.

Step 3

Here understands the differential calculus by example:

Let's consider a car trip from Delhi to Jaipur and the distance is approximately 280 km and it will take about 5hour now by using dis...

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