deriv.py

Created on May 22, 2025
780 Bytes
def afficher_derivées():
    print("1. Dérivées de fonctions usuelles")
    print("f(x) = k          → f'(x) = 0")
    print("f(x) = x          → f'(x) = 1")
    print("f(x) = xn         → f'(x) = n × xn−1")
    print("f(x) = 1/x        → f'(x) = -1/x2")
    print("f(x) = √x         → f'(x) = 1 / (2√x)")
    print("f(x) = 1/√x       → f'(x) = -1 / (2x√x)")

    print("\n2. Fonctions trigonométriques")
    print("f(x) = sin(x)     → f'(x) = cos(x)")
    print("f(x) = cos(x)     → f'(x) = -sin(x)")
    print("f(x) = tan(x)     → f'(x) = 1 / cos2(x)")

    print("\n3. Dérivée de fonctions composées")
    print("f(x) = u(v(x))    → f'(x) = u'(v(x)) × v'(x)")
    print("Ex : (√(3x+1))'   = 1 / (2√(3x+1)) × 3")



# Affichage du cours
afficher_derivées()