diff is exact. series is a Taylor polynomial.
Goal
Differentiate x*sin(x) and print a series.
import sympy as sp
x = sp.symbols('x')
print(sp.diff(x * sp.sin(x), x))import sympy as sp
x = sp.symbols('x')
print(sp.diff(x ** 3, x, 2))import sympy as sp
x = sp.symbols('x')
print(sp.series(sp.exp(x), x, 0, 5))import sympy as sp
x = sp.symbols('x')
print(sp.diff(sp.log(x), x))