Python | sympy.diff() method

With the help of sympy.diff() method, we can find the differentiation of mathematical expressions in the form of variables by using sympy.diff() method.

Syntax : sympy.diff(expression, reference variable) Return : Return differentiation of mathematical expression.

Example #1: In this example, we can see that by using sympy.diff() method, we can find the differentiation of mathematical expression with variables. Here we use the symbols() method also to declare a variable as a symbol. 

Python3

# import sympy
from sympy import *

x, y = symbols('x y')
gfg_exp = x + y

exp = expand(gfg_exp**2)
print("Before Differentiation : {}".format(exp))

# Use sympy.diff() method
dif = diff(exp, x)

print("After Differentiation : {}".format(dif))

Output :

Before Differentiation : x**2 + 2*x*y + y**2

 After Differentiation : 2*x + 2*y

Example #2 :

Python3

# import sympy
from sympy import *
x, y = symbols('x y')
gfg_exp = sin(x)*cos(x)

print("Before Differentiation : {}".format(gfg_exp))

# Use sympy.diff() method
dif = diff(gfg_exp, x)

print("After Differentiation : {}".format(dif))

Output :

Before Differentiation : sin(x)*cos(x) 

After Differentiation : -sin(x)**2 + cos(x)**2