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diff --git a/tests/powell_gradient1_tests.m b/tests/powell_gradient1_tests.m
new file mode 100644
index 0000000..dbc463d
--- /dev/null
+++ b/tests/powell_gradient1_tests.m
@@ -0,0 +1,5 @@
+## The gradient should be zero at the optimal point.
+
+unit_test_equals("powell_gradient1([0;0;0;0]) == 0", ...
+		 0, ...
+		 powell_gradient1([0;0;0;0]));