diff --git a/joey/activation.py b/joey/activation.py
index bec2422..d75dade 100644
--- a/joey/activation.py
+++ b/joey/activation.py
@@ -1,5 +1,5 @@
 from abc import ABC, abstractmethod
-from sympy import Max, sign
+from sympy import Max, Min, sign
 from devito import Eq
 
 
@@ -50,6 +50,21 @@ def backprop_eqs(self, layer):
                    * Max(0, sign(layer.result[dims])))]
 
 
+class LeakyReLU(Activation):
+    """An Activation subclass corresponding to ReLU."""
+    def __init__(self, negative_slope=0.01):
+        self.negative_slope = negative_slope
+        super().__init__(lambda x: x if x > 0 else x*negative_slope)
+
+    def backprop_eqs(self, layer):
+        dims = layer.result_gradients.dimensions
+        return [Eq(layer.result_gradients[dims],
+                   layer.result_geadients[dims]
+                   * (Max(0, sign(layer.result[dims])
+                      + Min(0, sign(layer.result[dims]
+                                    * self.negative_slope)))))]
+
+
 class Dummy(Activation):
     """An Activation subclass corresponding to f(x) = x."""