DataToolsLab
Calculus Calculators

Partial Derivative Calculator

Differentiate a multivariable function with respect to one variable.

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What is Partial Derivative?

A partial derivative measures how a multivariable function changes in one direction while the others are frozen: ∂f/∂x treats y and z as constants. It is the slope along a slice of the surface.

How it works

The same symbolic engine differentiates with respect to the chosen variable and treats the rest as constants, which is exactly how a partial is taken by hand. Optional coordinates evaluate the partial at a point, with unspecified coordinates taken as zero.

  1. Enter your input. Type or paste your input into the field above — the tool responds instantly.
  2. Review the result. Output updates live as you type. Everything runs entirely in your browser.
  3. Copy or download. Use the Copy button to grab the result, or Download to save it as a file.

Examples

Realistic sample

Type or paste any realistic input — the tool computes the result locally and instantly.

Common mistakes

Expecting a server round-trip

Nothing is uploaded — every tool in this category runs entirely in your browser.

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