diff --git a/06_rnns/Autograd_Simple.ipynb b/06_rnns/Autograd_Simple.ipynb
index cce30d9..cea323e 100644
--- a/06_rnns/Autograd_Simple.ipynb
+++ b/06_rnns/Autograd_Simple.ipynb
@@ -1,6 +1,7 @@
 {
  "cells": [
   {
+   "attachments": {},
    "cell_type": "markdown",
    "metadata": {},
    "source": [
@@ -9,7 +10,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 1,
+   "execution_count": 2,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -22,7 +23,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 2,
+   "execution_count": 3,
    "metadata": {},
    "outputs": [
     {
@@ -31,7 +32,7 @@
        "7"
       ]
      },
-     "execution_count": 2,
+     "execution_count": 3,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -43,7 +44,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 3,
+   "execution_count": 4,
    "metadata": {},
    "outputs": [
     {
@@ -66,7 +67,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 4,
+   "execution_count": 5,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -115,28 +116,29 @@
     "            else:\n",
     "                self.grad += backward_grad\n",
     "        \n",
+    "        gradient_to_send = backward_grad if backward_grad is not None else 1\n",
     "        if self.creation_op == \"add\":\n",
-    "            # Simply send backward self.grad, since increasing either of these \n",
+    "            # Simply send backward backward_grad, since increasing either of these \n",
     "            # elements will increase the output by that same amount\n",
-    "            self.depends_on[0].backward(self.grad)\n",
-    "            self.depends_on[1].backward(self.grad)    \n",
+    "            self.depends_on[0].backward(gradient_to_send)\n",
+    "            self.depends_on[1].backward(gradient_to_send)    \n",
     "\n",
     "        if self.creation_op == \"mul\":\n",
     "\n",
     "            # Calculate the derivative with respect to the first element\n",
-    "            new = self.depends_on[1] * self.grad\n",
+    "            new = self.depends_on[1] * gradient_to_send\n",
     "            # Send backward the derivative with respect to that element\n",
     "            self.depends_on[0].backward(new.num)\n",
     "\n",
     "            # Calculate the derivative with respect to the second element\n",
-    "            new = self.depends_on[0] * self.grad\n",
+    "            new = self.depends_on[0] * gradient_to_send\n",
     "            # Send backward the derivative with respect to that element\n",
     "            self.depends_on[1].backward(new.num)"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 5,
+   "execution_count": 6,
    "metadata": {},
    "outputs": [
     {
@@ -157,6 +159,31 @@
     "print(b.grad) # as expected"
    ]
   },
+  {
+   "cell_type": "code",
+   "execution_count": 8,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "24\n"
+     ]
+    }
+   ],
+   "source": [
+    "a = NumberWithGrad(3)\n",
+    "b = a * 4\n",
+    "c = b + 3\n",
+    "d = b * 5\n",
+    "e = c + d\n",
+    "\n",
+    "\n",
+    "e.backward()\n",
+    "print(a.grad)"
+   ]
+  },
   {
    "cell_type": "code",
    "execution_count": 6,
@@ -202,7 +229,7 @@
  ],
  "metadata": {
   "kernelspec": {
-   "display_name": "Python 3",
+   "display_name": "Python 3.9.13 64-bit (microsoft store)",
    "language": "python",
    "name": "python3"
   },
@@ -216,7 +243,12 @@
    "name": "python",
    "nbconvert_exporter": "python",
    "pygments_lexer": "ipython3",
-   "version": "3.7.4"
+   "version": "3.9.13"
+  },
+  "vscode": {
+   "interpreter": {
+    "hash": "96f88a1d939096e74b5883cdeb3bbaf3df602d5ab14210a6f9e7d8e0ea241fea"
+   }
   }
  },
  "nbformat": 4,