Mathlean · Online math workspace

Jacobian matrix calculator

Differentiate a vector-valued expression with respect to an ordered variable list.

How to use this calculator

Edit the function list and variable list inside JacobianMatrix.

Tap the math below to edit it and see the result. Once a result is ready, press Tab on a hardware keyboard to accept it. Outside a matrix, Return completes the line; the phone math keyboard has the same Return action.

Try it here

JacobianMatrix⁡([x2+y,x∗y],[x,y])\operatorname{JacobianMatrix}\left([x^2+y,x*y],[x,y]\right)

Interactive tools require JavaScript. You can read the guide and example without it.

What to know

Rows and columns follow the supplied function and variable order. Differentiability is an assumption, not a proof.

Mathlean combines visual mathematical input with computation and canvas tools. Results depend on the expression and available engine support; check important answers independently.

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