About the Partial Derivative Calculator
Compute partial derivatives ∂f/∂x, ∂f/∂y or ∂f/∂z of multivariable functions symbolically and evaluate them at a point.
Also known as: partial differentiation, multivariable derivative, df/dx df/dy, gradient calculator.
How to use this calculator
- Enter f(x, y, z), with respect to, x =, y = and the other fields.
- The result updates instantly as you type — press Calculate (or Enter) at any time.
- Review the breakdown shown under the main result.
- Use Copy result or Share to save the answer or send a link with your inputs.
Formula
∂f/∂x: differentiate with respect to x, treating other variables as constants
Worked example
Using the values pre-filled in the calculator above:
- f(x, y, z): x^2 * y + sin(x*y) + z^3
- With respect to: x
- x = = 1
- y = = 2
- z = = 0
the calculator returns:
- ∂f/∂x: 2x · y + cos(x · y) · y
- ∂f/∂x at (1, 2, 0): 3.1677063269
- Gradient ∇f at point: (3.167706, 0.583853, 0)