diff --git a/__pycache__/app.cpython-37.pyc b/__pycache__/app.cpython-37.pyc
index 70b256a..72371df 100644
Binary files a/__pycache__/app.cpython-37.pyc and b/__pycache__/app.cpython-37.pyc differ
diff --git a/app.py b/app.py
index b10aef9..e4c5b31 100644
--- a/app.py
+++ b/app.py
@@ -1,6 +1,7 @@
-from flask import Flask, render_template, request, redirect
+from flask import Flask, render_template, request, redirect, Response
 from sympy import *
 from helpers import apology
+import numpy as np
 
 app = Flask(__name__)
 
diff --git a/requirements.txt b/requirements.txt
index ad5319b..f252db9 100644
--- a/requirements.txt
+++ b/requirements.txt
@@ -13,3 +13,4 @@ requests==2.22.0
 sympy==1.4
 urllib3==1.25.7
 Werkzeug==0.16.0
+matplotlib==3.1.2
diff --git a/templates/optimized.html b/templates/optimized.html
index 6b3a8a1..cddd095 100644
--- a/templates/optimized.html
+++ b/templates/optimized.html
@@ -65,4 +65,9 @@
       </tbody>
     </table>
 	</font>
+
+  <canvas id='myChart' width='400', height='400'></canvas>
+
+
+
 {% endblock %}