Partial Differentiation

Partial differentiation refers to the process of calculating the partial derivative of a given function. Mathematically Partial Differentiation gives the slope of tangent drawn to the graph of the function at any point.

Consider a function f(x,y) = x2y + 3y2, we would like to see the first-order and second-order partial derivative of a function at x=2 and y=1.

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

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What is Partial Derivative?

A Partial derivative is calculated for a function f to approximate the value of the function concerning a certain parameter of the function. The term ‘partial’ is used to indicate that if the function is dependent on more than one variable, then the derivative will be taken considering one variable to calculate the change concerning that variable....

Partial Derivative Formula

Mathematically, consider a function f of dependent variables x, y, and z. Then the partial derivative of the function concerning x, y, and z can be written as...

Partial Differentiation

Partial differentiation refers to the process of calculating the partial derivative of a given function. Mathematically Partial Differentiation gives the slope of tangent drawn to the graph of the function at any point....

Partial Derivatives of Different Orders

Depending on the order of derivative required, the partial derivatives can vary. Let us see how...

Partial Derivative Rules

Let us see some rules used for calculating the partial derivative of a given function...

Total Derivative Vs Partial Derivative

Let us compare the total derivative and the partial derivative....

Applications of PartialDerivative

Various applications of partial derivative includes:...

Partial Derivative Examples

Example 1: Find the partial differential coefficient of the function xy2 with respect to y where x2+ xy + y2= 1....

Practice Questions on Partial Derivative

Here are some problems for practice purposes....

FAQs on Partial Derivative

What is Partial Derivative?...