exponentielle.py

Created by mbtp07

Created on May 18, 2021

581 Bytes

propriété :
  f(0)=1
  f'=f
  
1. Exp d'une somme :
  exp(a+b)= exp(a)+ exp(b
  
2. Propriété:
  exp(-a)= 1/exp(a)
  exp(a-b)= exp(a)/exp(b)
  (exp(a))^n= exp(na)
  
3. exp(1)=e

4. e^(a+b)=e^a*e^b
   e^-a=1/e^a
   e^(a-b)=e^a/e^b
   (e^a)^n=e^(n*a)
   
5. e^x>0
Fonction exp strictement croissante sur R

racine de e= e^1/2

6.f(x) de la forme e^u(x) a pour forme u(x)=ax+b
et a pour dérivé f'(x)= a*f(x)

7. f(x)= e^kx si k positif alors f croissante
si k negatif fontion decroissante

8. Si e^2x=e^3x alors 2x=3x on enleve le e si il n'y a que des e

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