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Partial Derivative Calculator

A step by step partial derivatives calculator for functions in two variables. You may first want to review the rules of differentiation of functions and the formulas for derivatives.

Use of the Partial Derivative Calculator

1 - Enter and edit function $f(x,y)$ in two variables, x and y, and click "Enter Function".
The five operators used are: + (plus) , - (minus), / (division) , ^ (power) and * (multiplication). (example: f(x,y) = x/y - 2*x + 2*x*y).(more notes on editing functions are located below)
2 - Click "Calculate Derivative" to obain $\dfrac{\partial f}{ \partial x}$ and $\dfrac{\partial f}{ \partial y}$ in two steps each. The first step using the rules of derivatives and the second is the simplified form of the derivative.

$f(x,y)$ =






Notes: In editing functions, use the following:
1 - The five operators used are: + (plus) , - (minus), / (division) , ^ (power) and * (multiplication). (example: f(x,y) = x/y - 2*x + 2*x*y)
2 - The function square root function is written as (sqrt). (example: sqrt(x^2-1)
3 - The exponential function is written as (exp). (Example: exp(x+2) )
4 - The ln function is written as (log). (Example: log(2x+3) )
5 - The absolute value function is not supported directly but you can transform an absolute value function into a square root function as follows: | u | = sqrt(u^2)

More References and Links to Derivatives

Partial Derivatives
Tables of Formulas for Derivatives
Rules of Differentiation of Functions in Calculus