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# TaoSetObjectiveAndGradient
Sets a combined objective function and gradient evaluation routine for the function to be optimized
## Synopsis
```
#include "petsctao.h"
PetscErrorCode TaoSetObjectiveAndGradient(Tao tao, Vec g, PetscErrorCode (*func)(Tao, Vec, PetscReal *, Vec, void *), void *ctx)
```
Logically Collective
## Input Parameters
- ***tao -*** the `Tao` context
- ***g -*** [optional] the vector to internally hold the gradient computation
- ***func -*** the gradient function
- ***ctx -*** [optional] user-defined context for private data for the gradient evaluation
routine (may be `NULL`)
## Calling sequence of `func`
```none
PetscErrorCode func(Tao tao, Vec x, PetscReal *f, Vec g, void *ctx);
```
- ***tao -*** the optimization object
- ***x -*** input vector
- ***f -*** objective value (output)
- ***g -*** gradient value (output)
- ***ctx -*** [optional] user-defined function context
## Note
For some optimization methods using a combined function can be more eifficient.
## See Also
[](ch_tao), `Tao`, `TaoSolve()`, `TaoSetObjective()`, `TaoSetHessian()`, `TaoSetGradient()`, `TaoGetObjectiveAndGradient()`
## Level
beginner
## Location
src/tao/interface/taosolver_fg.c
## Examples
src/tao/bound/tutorials/jbearing2.c
src/tao/bound/tutorials/plate2.c
src/tao/bound/tutorials/plate2f.F90
src/tao/constrained/tutorials/ex1.c
src/tao/constrained/tutorials/maros.c
src/tao/constrained/tutorials/tomographyADMM.c
src/tao/tutorials/ex3.c
src/tao/unconstrained/tutorials/burgers_spectral.c
src/tao/unconstrained/tutorials/eptorsion1.c
src/tao/unconstrained/tutorials/eptorsion2.c
src/tao/unconstrained/tutorials/eptorsion2f.F90
---
[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)