diff --git a/src/rules.jl b/src/rules.jl
index f6a976e..47e7576 100644
--- a/src/rules.jl
+++ b/src/rules.jl
@@ -208,7 +208,12 @@ end
 @define_diffrule NaNMath.log1p(x)  = :(  inv($x + 1)                                )
 @define_diffrule NaNMath.lgamma(x) = :(  SpecialFunctions.digamma($x)               )
 
+
 # binary #
 #--------#
 
 @define_diffrule NaNMath.pow(x, y) = :( $y * NaNMath.pow($x, ($y - 1)) ), :( NaNMath.pow($x, $y) * NaNMath.log($x) )
+@define_diffrule NaNMath.max(x, y) = :(ifelse(($y > $x) | (signbit($y) < signbit($x)), ifelse(isnan($y), one($x), zero($x)), ifelse(isnan($x), zero($x), one($x)))),
+                                     :(ifelse(($y > $x) | (signbit($y) < signbit($x)), ifelse(isnan($y), zero($y), one($y)), ifelse(isnan($x), one($y), zero($y))))
+@define_diffrule NaNMath.min(x, y) = :(ifelse(($y < $x) | (signbit($y) > signbit($x)), ifelse(isnan($y), one($x), zero($x)), ifelse(isnan($x), zero($x), one($x)))),
+                                     :(ifelse(($y < $x) | (signbit($y) > signbit($x)), ifelse(isnan($y), zero($y), one($y)), ifelse(isnan($x), one($x), zero($x))))