# Difference between revisions of "Math 22 Partial Derivatives"

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==Higher-Order Partial Derivatives== | ==Higher-Order Partial Derivatives== | ||

− | 1. <math>\frac{\partial}{\partial x}(\frac{\partial f}{\partial x})=\frac{\partial^2 f}{\partial x^2}= | + | 1. <math>\frac{\partial}{\partial x}(\frac{\partial f}{\partial x})=\frac{\partial^2 f}{\partial x^2}=f_{xx}</math> |

[[Math_22| '''Return to Topics Page''']] | [[Math_22| '''Return to Topics Page''']] | ||

'''This page were made by [[Contributors|Tri Phan]]''' | '''This page were made by [[Contributors|Tri Phan]]''' |

## Revision as of 08:40, 18 August 2020

## Partial Derivatives of a Function of Two Variables

If , then the first partial derivatives of with respect to and are the functions and , defined as shown. We can denote as and as

**Example:** Find and of:

**1)**

Solution: |
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**2)**

Solution: |
---|

**3)**

Solution: |
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(product rule +chain rule) |

## Higher-Order Partial Derivatives

**This page were made by Tri Phan**