Partial Derivative Calculator
Compute partial derivatives of multivariable functions with respect to a chosen variable.
Published by:
isCalculator Editorial Team
Was this calculator helpful?
How to use this tool?
How to use the Partial Derivative Calculator:
- Enter the function in the "Function f(x,y,...)" field. Use standard mathematical notation, e.g.,
x^2*y + sin(x). - Specify the variable to differentiate with respect to in the "Differentiate with respect to" field, e.g.,
x. - (Optional) Evaluate at a point by entering comma-separated
variable=valuepairs, e.g.,x=1, y=2. Leave blank to evaluate at default values (0 for unspecified variables). - Click "Calculate". The result shows the approximate partial derivative (using central difference method) and an explanation.
Note: The calculator uses numerical differentiation (step size ~1e-8). Ensure your function and point values are valid numbers. If an error appears, check your syntax or point format.
Previous Results
| Result | Inputs | Date |
|---|
Frequently Asked Questions
A partial derivative measures how a multivariable function changes as one variable changes while holding others constant.
The calculator uses a numerical approximation with a step size of 1e-8, providing high accuracy for most functions.
Yes, you can provide point values like x=1, y=2 to evaluate the derivative at that point.
