Applications of PartialDerivative
Various applications of partial derivative includes:
- Partial derivative is used in mathematical models that use complex equations. In such systems, the partial derivative helps to find the approximate solution of the system with efficiency.
- Partial derivatives are used in engineering-control systems. The control systems include dynamic systems that are complex to analyze with simple engineering tools. Therefore, partial derivates help to model and analyze such systems.
- Partial derivatives are used in chemical reactions to study the reaction kinetics of different reagents. They are mainly used to study reaction kinetics with changes in the concentration of different reagents and products.
- Partial derivatives are used in population dynamics to study how the population would change with changes in individual factors like birth rate, death rate, immigration, and calamities.
- Partial derivatives are used in the economics and finance sectors to predict future income. Modifications are done according to the results to maximize profits. For example, it helps to calculate a firm’s output in terms of input factors like labor or capital.
Partial Derivative: Definition, Formulas and Examples | Partial Differentiation
Partial derivative is a mathematical concept used in vector calculus and differential geometry. If a function is dependent on two or more variables then its derivative is calculated in various types and one such type is partial derivative in which the derivative of any two or more variable functions is calculated taking one variable as constant.
Partial Derivative
In this article, we will learn about the partial derivative definition, formula, examples, examples and others in detail.
Table of Content
- What is Partial Derivative?
- Partial Derivative Formula
- Partial Differentiation
- Partial Derivatives of Different Orders
- Partial Derivative Rules
- Total Derivative Vs Partial Derivative
- Applications of PartialDerivative
- Partial Derivative Examples