diff --git a/DifferentiationInterface/Project.toml b/DifferentiationInterface/Project.toml
index 799808b1b..e014b3a67 100644
--- a/DifferentiationInterface/Project.toml
+++ b/DifferentiationInterface/Project.toml
@@ -41,7 +41,11 @@ DifferentiationInterfaceForwardDiffExt = ["ForwardDiff", "DiffResults"]
 DifferentiationInterfaceGPUArraysCoreExt = "GPUArraysCore"
 DifferentiationInterfaceGTPSAExt = "GTPSA"
 DifferentiationInterfaceMooncakeExt = "Mooncake"
-DifferentiationInterfacePolyesterForwardDiffExt = ["PolyesterForwardDiff", "ForwardDiff", "DiffResults"]
+DifferentiationInterfacePolyesterForwardDiffExt = [
+    "PolyesterForwardDiff",
+    "ForwardDiff",
+    "DiffResults",
+]
 DifferentiationInterfaceReverseDiffExt = ["ReverseDiff", "DiffResults"]
 DifferentiationInterfaceSparseArraysExt = "SparseArrays"
 DifferentiationInterfaceSparseConnectivityTracerExt = "SparseConnectivityTracer"
@@ -65,7 +69,7 @@ ForwardDiff = "0.10.36,1"
 GPUArraysCore = "0.2"
 GTPSA = "1.4.0"
 LinearAlgebra = "1"
-Mooncake = "0.4.147"
+Mooncake = "0.4.175"
 PolyesterForwardDiff = "0.1.2"
 ReverseDiff = "1.15.1"
 SparseArrays = "1"
diff --git a/DifferentiationInterface/ext/DifferentiationInterfaceMooncakeExt/onearg.jl b/DifferentiationInterface/ext/DifferentiationInterfaceMooncakeExt/onearg.jl
index 209367d5a..ab9818735 100644
--- a/DifferentiationInterface/ext/DifferentiationInterfaceMooncakeExt/onearg.jl
+++ b/DifferentiationInterface/ext/DifferentiationInterfaceMooncakeExt/onearg.jl
@@ -1,9 +1,10 @@
 ## Pullback
 
-struct MooncakeOneArgPullbackPrep{SIG, Tcache, DY} <: DI.PullbackPrep{SIG}
+struct MooncakeOneArgPullbackPrep{SIG, Tcache, DY, N} <: DI.PullbackPrep{SIG}
     _sig::Val{SIG}
     cache::Tcache
     dy_righttype::DY
+    args_to_zero::NTuple{N, Bool}
 end
 
 function DI.prepare_pullback_nokwarg(
@@ -16,7 +17,13 @@ function DI.prepare_pullback_nokwarg(
     )
     y = f(x, map(DI.unwrap, contexts)...)
     dy_righttype = zero_tangent(y)
-    prep = MooncakeOneArgPullbackPrep(_sig, cache, dy_righttype)
+    contexts_tup_false = map(_ -> false, contexts)
+    args_to_zero = (
+        false,  # f
+        true,  # x
+        contexts_tup_false...,
+    )
+    prep = MooncakeOneArgPullbackPrep(_sig, cache, dy_righttype, args_to_zero)
     return prep
 end
 
@@ -32,7 +39,8 @@ function DI.value_and_pullback(
     dy = only(ty)
     dy_righttype = dy isa tangent_type(Y) ? dy : _copy_to_output!!(prep.dy_righttype, dy)
     new_y, (_, new_dx) = value_and_pullback!!(
-        prep.cache, dy_righttype, f, x, map(DI.unwrap, contexts)...
+        prep.cache, dy_righttype, f, x, map(DI.unwrap, contexts)...;
+        prep.args_to_zero
     )
     return new_y, (_copy_output(new_dx),)
 end
@@ -50,7 +58,8 @@ function DI.value_and_pullback(
         dy_righttype =
             dy isa tangent_type(Y) ? dy : _copy_to_output!!(prep.dy_righttype, dy)
         y, (_, new_dx) = value_and_pullback!!(
-            prep.cache, dy_righttype, f, x, map(DI.unwrap, contexts)...
+            prep.cache, dy_righttype, f, x, map(DI.unwrap, contexts)...;
+            prep.args_to_zero
         )
         y, _copy_output(new_dx)
     end
@@ -101,9 +110,10 @@ end
 
 ## Gradient
 
-struct MooncakeGradientPrep{SIG, Tcache} <: DI.GradientPrep{SIG}
+struct MooncakeGradientPrep{SIG, Tcache, N} <: DI.GradientPrep{SIG}
     _sig::Val{SIG}
     cache::Tcache
+    args_to_zero::NTuple{N, Bool}
 end
 
 function DI.prepare_gradient_nokwarg(
@@ -114,7 +124,13 @@ function DI.prepare_gradient_nokwarg(
     cache = prepare_gradient_cache(
         f, x, map(DI.unwrap, contexts)...; config.debug_mode, config.silence_debug_messages
     )
-    prep = MooncakeGradientPrep(_sig, cache)
+    contexts_tup_false = map(_ -> false, contexts)
+    args_to_zero = (
+        false,  # f
+        true,  # x
+        contexts_tup_false...,
+    )
+    prep = MooncakeGradientPrep(_sig, cache, args_to_zero)
     return prep
 end
 
@@ -126,7 +142,10 @@ function DI.value_and_gradient(
         contexts::Vararg{DI.Context, C},
     ) where {F, C}
     DI.check_prep(f, prep, backend, x, contexts...)
-    y, (_, new_grad) = value_and_gradient!!(prep.cache, f, x, map(DI.unwrap, contexts)...)
+    y, (_, new_grad) = value_and_gradient!!(
+        prep.cache, f, x, map(DI.unwrap, contexts)...;
+        prep.args_to_zero
+    )
     return y, _copy_output(new_grad)
 end
 
@@ -139,7 +158,10 @@ function DI.value_and_gradient!(
         contexts::Vararg{DI.Context, C},
     ) where {F, C}
     DI.check_prep(f, prep, backend, x, contexts...)
-    y, (_, new_grad) = value_and_gradient!!(prep.cache, f, x, map(DI.unwrap, contexts)...)
+    y, (_, new_grad) = value_and_gradient!!(
+        prep.cache, f, x, map(DI.unwrap, contexts)...;
+        prep.args_to_zero
+    )
     copyto!(grad, new_grad)
     return y, grad
 end
diff --git a/DifferentiationInterface/ext/DifferentiationInterfaceMooncakeExt/twoarg.jl b/DifferentiationInterface/ext/DifferentiationInterfaceMooncakeExt/twoarg.jl
index da3e5b217..2ee11b5ae 100644
--- a/DifferentiationInterface/ext/DifferentiationInterfaceMooncakeExt/twoarg.jl
+++ b/DifferentiationInterface/ext/DifferentiationInterfaceMooncakeExt/twoarg.jl
@@ -1,8 +1,9 @@
-struct MooncakeTwoArgPullbackPrep{SIG, Tcache, DY, F} <: DI.PullbackPrep{SIG}
+struct MooncakeTwoArgPullbackPrep{SIG, Tcache, DY, F, N} <: DI.PullbackPrep{SIG}
     _sig::Val{SIG}
     cache::Tcache
     dy_righttype::DY
     target_function::F
+    args_to_zero::NTuple{N, Bool}
 end
 
 function DI.prepare_pullback_nokwarg(
@@ -30,7 +31,17 @@ function DI.prepare_pullback_nokwarg(
         silence_debug_messages = config.silence_debug_messages,
     )
     dy_righttype_after = zero_tangent(y)
-    prep = MooncakeTwoArgPullbackPrep(_sig, cache, dy_righttype_after, target_function)
+    contexts_tup_false = map(_ -> false, contexts)
+    args_to_zero = (
+        false,  # target_function
+        false,  # f!
+        false,  # y
+        true,  # x
+        contexts_tup_false...,
+    )
+    prep = MooncakeTwoArgPullbackPrep(
+        _sig, cache, dy_righttype_after, target_function, args_to_zero
+    )
     return prep
 end
 
@@ -55,7 +66,8 @@ function DI.value_and_pullback(
         f!,
         y,
         x,
-        map(DI.unwrap, contexts)...,
+        map(DI.unwrap, contexts)...;
+        prep.args_to_zero
     )
     copyto!(y, y_after)
     return y, (_copy_output(dx),)
@@ -80,7 +92,8 @@ function DI.value_and_pullback(
             f!,
             y,
             x,
-            map(DI.unwrap, contexts)...,
+            map(DI.unwrap, contexts)...;
+            prep.args_to_zero
         )
         copyto!(y, y_after)
         _copy_output(dx)