apeforest commented on a change in pull request #15413: [MXNET-978] Higher 
Order Gradient Support `reciprocal`, `abs`.
URL: https://github.com/apache/incubator-mxnet/pull/15413#discussion_r299302321
 
 

 ##########
 File path: tests/python/unittest/test_higher_order_grad.py
 ##########
 @@ -106,6 +106,35 @@ def grad_grad_op(x):
         check_second_order_unary(array, log10, grad_grad_op)
 
 
+@with_seed()
+def test_reciprocal():
+    def reciprocal(x):
+        return nd.reciprocal(x)
+
+    def grad_grad_op(x):
+        return 2/x**3
+
+    for dim in range(1, 5):
+        shape = rand_shape_nd(dim)
+        array = random_arrays(shape)
+        check_second_order_unary(array, reciprocal, grad_grad_op)
+
+
+@with_seed()
+def test_abs():
+    def abs(x):
+        return nd.abs(x)
+
+    def grad_grad_op(x):
+        return nd.zeros_like(x)
+
+    for dim in range(1, 5):
+        shape = rand_shape_nd(dim)
+        array = random_arrays(shape)
+        check_second_order_unary(array, abs, grad_grad_op)
+
 
 Review comment:
   nit: please remove extra line

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