fonctioninverse.py

Created by mathislatouche2

Created on February 24, 2022

598 Bytes

# Type your text here
nom courbe=hyperbole
La fonction inverse est
defini sur R par f(x)=1/x

La fonction inverse est
impaire
L'hyperbole est symetrique
par rapport a l'origine 0

Limites :
  Haut : lim 1/x=+infini
          x->0
          x>0
  
  Bas : lim 1/x=-infini
        x->0
        x<0
        
  Gauche : lim 1/x=0
            x->-infini
            
  Droite : lim 1/x=0
            x->+infini


f'(x)=-1/xcarre
La fonction inverse est 
decroissante sur -infini;0
et sur +infini;0

Xcarre>0 sur ...
3x +... >0
donc f'(x)>0 sur ...
Donc f est croissante sur ..

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