# Difference between revisions of "Math 22 Partial Derivatives"

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<math>\frac{\partial z}{\partial y}=\lim_{\Delta y\to 0}\frac{f(x,y+\Delta y)-f(x,y)}{\Delta y}</math> | <math>\frac{\partial z}{\partial y}=\lim_{\Delta y\to 0}\frac{f(x,y+\Delta y)-f(x,y)}{\Delta y}</math> | ||

− | '''Example:''' Find <math>\frac{\partial z}{\partial x}</math> and <math> | + | '''Example:''' Find <math>\frac{\partial z}{\partial x}</math> and <math>\frac{\partial z}{\partial y}</math> |

## Revision as of 08:28, 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.

**Example:** Find and

**This page were made by Tri Phan**