tobecontinued opened a new pull request #17754: [MXNET-978] Higher Order 
Gradient Support power, elemwise_mul and elemwise_sub and add  unit test 
funcino check check_nth_order_binary
URL: https://github.com/apache/incubator-mxnet/pull/17754
 
 
   ## Description ##
   * add unittest funtinon check check_nth_order_binary
   * support higher order gradient for power,  elemwise_mul and elemwise_sub.
   
   ## Checklist ##
   ### Essentials ###
   Please feel free to remove inapplicable items for your PR.
   - [x] The PR title starts with [MXNET-$JIRA_ID], where $JIRA_ID refers to 
the relevant [JIRA issue](https://issues.apache.org/jira/projects/MXNET/issues) 
created (except PRs with tiny changes)
   - [x] Changes are complete (i.e. I finished coding on this PR)
   - [x] All changes have test coverage:
   - Unit tests are added for small changes to verify correctness (e.g. adding 
a new operator)
   - Nightly tests are added for complicated/long-running ones (e.g. changing 
distributed kvstore)
   - Build tests will be added for build configuration changes (e.g. adding a 
new build option with NCCL)
   - [x] Code is well-documented: 
   - For user-facing API changes, API doc string has been updated. 
   - For new C++ functions in header files, their functionalities and arguments 
are documented. 
   - For new examples, README.md is added to explain the what the example does, 
the source of the dataset, expected performance on test set and reference to 
the original paper if applicable
   - Check the API doc at 
https://mxnet-ci-doc.s3-accelerate.dualstack.amazonaws.com/PR-$PR_ID/$BUILD_ID/index.html
   - [x] To the best of my knowledge, examples are either not affected by this 
change, or have been fixed to be compatible with this change
   
   ### Changes ###
   - [x] add unittest funtinon check check_nth_order_binary
   - [x] support higher order gradient for power,  elemwise_mul and 
elemwise_sub.
   - [x] unittest of higher order gradient of them.
   

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