Partial Derivative Calculator

How to Use

Enter your multivariable function (e.g., x^2 + y^2, x*y + z^3) and specify which variable to differentiate with respect to (x, y, or z).

Common Partial Derivative Rules:

• ∂/∂x (x^n) = n*x^(n-1)
• ∂/∂x (x*y) = y (treat y as constant)
• ∂/∂x (sin(x)) = cos(x)
• ∂/∂x (e^x) = e^x

Example Functions:

• f(x,y) = x² + y² → ∂f/∂x = 2x, ∂f/∂y = 2y
• f(x,y) = xy → ∂f/∂x = y, ∂f/∂y = x
• f(x,y) = x²y³ → ∂f/∂x = 2xy³, ∂f/∂y = 3x²y²