# 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 symbols() method also to declare a variable as symbol.

 # import sympy from sympy import * x, y = symbols('x y') gfg_exp = x + y exp = sympy.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 :

 # 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

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