Python The table below gives values of the height of a tomato plant in inchesover 20 days. Use these values and an appropriate numerical differen-tiation formula to estimate the rate of growth of the tomato plan overtime. Plot a graph of the height of tomatoes and their rate of changeover time. Does the rate of change plot reflect the derivatives along thegraph of tomato heights.day0268height (inches) 8.23 9.66 10.55| 12.68 14.2010 12141615.5 16.27 18.78 22.271824.57

Dear Student, The source code, implementation and expected output of your program is given below - Also, Yes, the rate of change plot reflect the derivatives along the graph of tomato heights.import matplotlib.pyplot as plt #importing matplotlib library to plot graphsimport numpy as np #importing numpy library to perform numerical operations #creating lists for day and height of tomato plantday = [0, 2, 4, 6, 8, 10, 12, 14, 16, 18]height = [8.23, 9.66, 10.55, 12.68, 14.20, 15.5, 16.27, 18.78, 22.27, 24.57] #calculating first derivative of height of tomato plant using Forward Difference Formula derivative = [0]for i in range(0, len(height)-1): derivative.append((height[i+1] - height[i]) / (day[i+1] - day[i])) #plotting the graph for height of tomato plantplt.plot(day, height, color='red', label='Height of tomato plant') #plotting the graph for rate of change in height of tomato plantplt.plot(day, derivative, color='blue', label='Rate of change in height of tomato plant') #adding labels and titles to the graphplt.xlabel('Day')plt.ylabel('Height (inches)')plt.title('Height of tomato plant over time') #adding legend to the graphplt.legend() #displaying the graphplt.show()