Differentiation and Integration
What is Differentiation?
Differentiation is a process of finding instantaneous change in function with respect to other quantity. It is given by d/dx{f(x)} = f'(x)
What is Integration?
Integration refers to the process of adding small and continuous data of a function over a given range of limits. It is given by ∫f(x)dx = F(x) + C
What is the basic difference between Differentiation and Integration?
The basic difference between Differentiation and Integration is that Differentiation divides the function and reduces it on a particular point in the domain while Integration sums up all the continuous data of the function over a given range of limits in the domain.
What is the Differentiation of log x?
The differentiation of log x is given by d/dx(log x) which is equal to 1/x
What is Differentiation and Integration of ex?
The differentiation of ex is ex and the integration of ex is ex + C.
Differentiation and Integration Formula
Differentiation and Integration are two mathematical operations used to find change in a function or a quantity with respect to another quantity instantaneously and over a period, respectively. Differentiation is an instantaneous rate of change and it breaks down the function for that instant with respect to a particular quantity while Integration is the average rate of change that causes the summation of continuous data of a function over the given period or range. Both are inverse of each other.
In this article, we will learn about what is differentiation, what is integration, and the formulas related to Differentiation and Integration.
Table of Content
- What is Differentiation?
- How to Differentiate a Function
- Differentiation Formulas
- Derivative of Algebraic Functions
- Derivative of Exponential Functions
- Derivative of Logarithmic Functions
- Derivative of Trigonometric Functions
- Differentiation by Parts
- What is Integration?
- How to Integrate Function
- Integration Formulas
- Integration of Algebraic Functions
- Integration of Exponential Functions
- Integration of Trigonometric Functions
- Integration By Parts
- Area Under the Curve
- Differentiation and Integration Formulas
- Properties of Differentiation and Integration
- Difference between Differentiation and Integration
- Solved Examples of Differentiation and Integration Formula
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