#
# Un peu de calcul symbolique
#
# ou ce que les enseignants du secondaire utilisent...
# mais ne vous le disent pas :-)
#
# see also https://github.com/sympy/sympy/wiki/Quick-examples
#
# Vincent Legat - 2018
# Ecole Polytechnique de Louvain
#
from sympy import *
x = symbols('x')
f = 1/sqrt(1-x**2)
print(' f(x) =',f)
print(' primitive of f(x) =',integrate(f))
print('devivative of asin(x) =',diff(asin(x)))
print('devivative of acos(x) =',diff(acos(x)))