Python for differential calculus

25 Mar 2023

Many would have known about using differential calculus in Maths. How do we use it with Python? Well, sympy and scipy can help us here.

Sympy is used to create symbols for our x, y variables while Scipy helps with the differential bit.

These can be installed using below command:

pip install sympy scipy

Next, import them:

from sympy import *
from scipy.misc import derivative

Create a symbol and use it to create an equation:

x = Symbol('x')
Fx = 7*x**3+x**2+1

Using scipy differentiate it:

Derivative(Fx,x).doit()

To create a derivative at a point:

def f(x):
    return 7*x**3+x**2+1
derivative(f,1.0)

def f(x):
    return 7*x**3+x**2+1
derivative(f,1.0)

An example of Partial Derivatives:

x, y, z = symbols('x, y, z', real=True)
f = x**2 + y**3 + z**4 + 5*x*y*z
f

Create derivative with respect to each variable:

for var in [x, y, z]:
    print(" f_" + str(var) + "=", f.diff(var))

Hope it helps and you explore more. Please do share! :)

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