Calculus Calculators
Gradient Calculator
Compute ∇f, the vector of all partial derivatives of a scalar function.
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What is Gradient?
The gradient packs every partial derivative of a scalar function into one vector. It points in the direction of steepest increase, and its magnitude is how steep that increase is — which is why gradient descent optimisation follows it.
How it works
Each variable present in the expression is differentiated in turn with the others held constant, and the results are shown as a vector and as individual components. A zero component means the function is locally flat in that direction.
- Enter your input. Type or paste your input into the field above — the tool responds instantly.
- Review the result. Output updates live as you type. Everything runs entirely in your browser.
- 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.