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# Array API Standard Support: `differentiate`

## Support on CPU

Legend

✔️ = supported

✖ = unsupported

N/A = out-of-scope

function | torch | jax | dask
--- | --- | --- | ---
derivative | ✔️ | ✔️ | ✖
jacobian | ✔️ | ✔️ | ✖
hessian | ✔️ | ✔️ | ✖

## Support on GPU

Legend

✔️ = supported

✖ = unsupported

N/A = out-of-scope

function | cupy | torch | jax
--- | --- | --- | ---
derivative | ✔️ | ✔️ | ✔️
jacobian | ✔️ | ✔️ | ✔️
hessian | ✔️ | ✔️ | ✔️

## Support with JIT

Legend

✔️ = supported

✖ = unsupported

N/A = out-of-scope

function | jax
--- | ---
derivative | ✖
jacobian | ✖
hessian | ✖