Partial Differentiation Calculator
Compute first‑order partial derivatives of multivariable functions with respect to x or y. Evaluate at a point (optional).
∂f/∂x = 2x
How to Use
- Choose a function from the dropdown.
- Select the variable (x or y) to differentiate with respect to.
- Optionally enter x and y values to evaluate the derivative at a point.
- Click “Calculate” to see the derivative expression and its numeric value (if point provided).
Example
Function: f(x,y) = x² + y², differentiate with respect to x at (x=1, y=2).
Derivative: ∂f/∂x = 2x → at x=1, ∂f/∂x = 2.
What is a Partial Derivative?
A partial derivative measures how a multivariable function changes when one variable varies while the others are held constant. It is fundamental in calculus, physics, and optimization. Our calculator handles common functions and shows the derivative expression, making it a great learning tool.
Whether you’re a student checking homework or a professional needing quick derivatives, this tool provides instant results with a clean interface.