Python Tangent to the Curve in Python

In this blog we will learn how to plot tangent line on a curve using python. We will use various modules like matplotlib.pyplot , numpy , ipywidgets to make it. I have a interactive one and here is the code .

Note : this code only works in Jupyter Notebook

import numpy as np

import matplotlib.pyplot as plt

import ipywidgets as widgets

from ipywidgets import interactive

def f(x): 

    return x**2

# Define parabola derivative

def slope(x): 

    return 2*x

# Define x data range for parabola

x = np.linspace(-5,5,100)

def t(x1):

  # Choose point to plot tangent line

  

  y1 = f(x1)

  # Define tangent line

  # y = m*(x - x1) + y1

  def line(x, x1, y1):

      return slope(x1)*(x - x1) + y1

  # Define x data range for tangent line

  xrange = np.linspace(x1-1, x1+1, 10)

  # Plot the figure

  plt.figure()

  plt.plot(x, f(x))

  plt.scatter(x1, y1, color='C1', s=50)

  plt.plot(xrange, line(xrange, x1, y1), 'C1--', linewidth = 2)

interactive_plot = interactive(t ,x1 = (-5,5),step =100)

interactive_plot

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