If we want to measure how a function changes over time, the first intuitive step would be to take the value of a function and then measure it at the subsequent point. Subtracting the second value from the first would give us an idea of how much the function changes over time:
import matplotlib.pyplot as plt import numpy as np %matplotlib inline def quadratic(var): return 2* pow(var,2) x=np.arange(0,.5,.1) plt.plot(x,quadratic(x)) plt.plot([1,4], [quadratic(1), quadratic(4)], linewidth=2.0) plt.plot([1,4], [quadratic(1), quadratic(1)], linewidth=3.0, label="Change in x") plt.plot([4,4], [quadratic(1), quadratic(4)], linewidth=3.0, label="Change in y") plt.legend() plt.plot (x, 10*x -8 ) plt.plot()
In the ...