Partial Derivative Calculator
Compute first-order and higher-order partial derivatives of multivariable functions symbolically.
Input
Examples
Result
Enter a multivariable function and click Compute
How This Calculator Works
Enter a multivariable function and select which variable to differentiate with respect to. The calculator performs symbolic partial differentiation, automatically detecting all variables in the expression and applying standard differentiation rules.
Higher-Order Partials
Compute mixed partial derivatives of any order. Specify a sequence like "xy" or "xxy" to get second-order, third-order, or higher mixed partials. The tool shows each differentiation step and the final simplified result.
Point Evaluation
After computing the partial derivative symbolically, plug in specific values for each variable to evaluate the result at any point. Useful for checking gradient components or verifying homework answers numerically.