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# TaoComputeGradient
Computes the gradient of the objective function
## Synopsis
```
#include "petsctao.h"
PetscErrorCode TaoComputeGradient(Tao tao, Vec X, Vec G)
```
Collective
## Input Parameters
- ***tao -*** the `Tao` context
- ***X -*** input vector
## Output Parameter
- ***G -*** gradient vector
## Options Database Keys
- ***-tao_test_gradient -*** compare the user provided gradient with one compute via finite differences to check for errors
- ***-tao_test_gradient_view -*** display the user provided gradient, the finite difference gradient and the difference between them to help users detect the location of errors in the user provided gradient
## Note
`TaoComputeGradient()` is typically used within the implementation of the optimization method,
so most users would not generally call this routine themselves.
## See Also
[](ch_tao), `TaoComputeObjective()`, `TaoComputeObjectiveAndGradient()`, `TaoSetGradient()`
## Level
developer
## Location
src/tao/interface/taosolver_fg.c
## Examples
src/tao/tutorials/ex4.c
---
[Edit on GitLab](https://gitlab.com/petsc/petsc/-/edit/release/src/tao/interface/taosolver_fg.c)
[Index of all Tao routines](index.md)
[Table of Contents for all manual pages](/manualpages/index.md)
[Index of all manual pages](/manualpages/singleindex.md)