diff --git a/README.md b/README.md
index 4410c8601..6ac136f97 100644
--- a/README.md
+++ b/README.md
@@ -337,12 +337,12 @@ namespace custom_derivatives {
   double my_pow_darg1(dobule x, double y) { return my_pow(x, y) * std::log(x); }
 }
 ```
-You can also specify a custom gradient:
+You can also specify a custom pullback:
 ```cpp
 namespace custom_derivatives {
-  void my_pow_grad(double x, double y, array_ref<double> _d_x, array_ref<double> _d_y) {
+  void my_pow_pullback(double x, double y, double _d_y0, double *_d_x, double *_d_y) {
      double t = my_pow(x, y - 1);
-     *_d_x = y * t;
+     *_d_x = y * t * _d_y0;
      *_d_y = x * t * std::log(x);
    }
 }
diff --git a/demos/ErrorEstimation/CustomModel/README.md b/demos/ErrorEstimation/CustomModel/README.md
index 95cdabaac..d38e88065 100644
--- a/demos/ErrorEstimation/CustomModel/README.md
+++ b/demos/ErrorEstimation/CustomModel/README.md
@@ -42,13 +42,13 @@ clang++ -Xclang -add-plugin -Xclang clad -Xclang -load -Xclang CLAD_INST/lib/cla
 To verify your results, you can build the dummy `test.cpp` file with the commands shown above. Once you compile and run the test file correctly, you will notice the generated code is as follows:
 
 ```cpp
-The code is: void func_grad(float x, float y, float *_d_x, float *_d_y, double *_final_error) {
+The code is: void func_pullback(float x, float y, float _d_y0, float *_d_x, float *_d_y, double *_final_error) {
     float _d_z = 0;
     float _t0;
     float z;
     _t0 = z;
     z = x + y;
-    _d_z += 1;
+    _d_z += _d_y0;
     {
         *_final_error += _d_z * z;
         z = _t0;
diff --git a/demos/ErrorEstimation/PrintModel/README.md b/demos/ErrorEstimation/PrintModel/README.md
index 7b124977c..fc29a75e3 100644
--- a/demos/ErrorEstimation/PrintModel/README.md
+++ b/demos/ErrorEstimation/PrintModel/README.md
@@ -41,13 +41,13 @@ clang++ -Xclang -add-plugin -Xclang clad -Xclang -load -Xclang CLAD_INST/lib/cla
 To verify your results, you can build the dummy `test.cpp` file with the commands shown above. Once you compile and run the test file correctly, you will notice the generated code is as follows:
 
 ```cpp
-The code is: void func_grad(float x, float y, float *_d_x, float *_d_y, double *_final_error) {
+The code is: void func_pullback(float x, float y, float _d_y0, float *_d_x, float *_d_y, double *_final_error) {
     float _d_z = 0;
     float _t0;
     float z;
     _t0 = z;
     z = x + y;
-    _d_z += 1;
+    _d_z += _d_y0;
     {
         *_final_error += _d_z * z;
         z = _t0;