Implicit Plots and Implicit Differentiation in Python
Author: David Manuel
In this video, it is demonstrated how to use Python to plot an implicit curve and then find a tangent line to the curve using implicit differentiation. The presenter then shows how to combine the original implicit plot with a normal plot of the tangent line so we can check the tangent line is correct.
Transcript 15
Transcript 15
Exercises
Python Code:
from sympy import *
x,y=symbols('x y')
eqn=x**3+y**3-3*x*y
matplotlib notebook
peqn=plot_implicit(eqn,(x,-3,3),(y,-3,3))
dydx=idiff(eqn,y,x)
print('dy/dx=',dydx)
m=dydx.subs({x:2/3,y:4/3})
print('The slope of the tangent line is',m)
tanline=4/3+m*(x-2/3)
print('The equation of the tangent line is y=',tanline)
peqn.extend(plot(tanline,(x,-3,3)))
peqn.show()
Open Python Notebook File
