loiop3.py

Created on March 23, 2022

619 Bytes

g(x)=0 admet exactement une solution
sur a;b car g(a)>0>g(b), g(x) est 
strictement croissante et continue
sur a;b. Donc d'apres le theoreme
des valeurs intermedaires g(x)=0
n'admet qu'une seule solution
s sur a;b.

convexité:
  Calculer f''(x)
  trouver x dans f''(x)=0
  faire le tableau
  convexe si f''(x)>0
           ou f'(x) croissant
           Cf au dessus des tangentes
  concave si f''(x)<0
           ou f'(x) decroissant
           Cf en dessous des tangentes
           
point d'inflexion= changement concave convexe

equation de la tangente:
  y=f(a)+f'(a)*(x-a)
  a=point d'abscisse

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