diff --git a/Sources/ComplexModule/Differentiable.swift b/Sources/ComplexModule/Differentiable.swift
index 443a1d5a..5e2f3042 100644
--- a/Sources/ComplexModule/Differentiable.swift
+++ b/Sources/ComplexModule/Differentiable.swift
@@ -15,6 +15,11 @@ import _Differentiation
 extension Complex: Differentiable
 where RealType: Differentiable, RealType.TangentVector == RealType {
   public typealias TangentVector = Self
+
+  @inlinable
+  public var zeroTangentVectorInitializer: () -> Self {
+    { Complex.zero }
+  }
 }
 
 extension Complex
diff --git a/Tests/ComplexTests/DifferentiableTests.swift b/Tests/ComplexTests/DifferentiableTests.swift
index 4ade368c..31759ac7 100644
--- a/Tests/ComplexTests/DifferentiableTests.swift
+++ b/Tests/ComplexTests/DifferentiableTests.swift
@@ -57,6 +57,10 @@ final class DifferentiableTests: XCTestCase {
     XCTAssertEqual(φDivide(Complex(1, 0)), Complex(0.25, -0.25))
     XCTAssertEqual(φDivide(Complex(0, 1)), Complex(0.25, 0.25))
   }
+
+  func testZeroTangentVectorInitializer() {
+    XCTAssertEqual(Complex<Float>(-5, 5).zeroTangentVector, Complex(0, 0))
+  }
 }
 
 #endif