derivee_formule.py

Created on October 05, 2023

551 Bytes

cherche la dirivee de "a" :

f'(x)= lim [ f(a+h) - f(a)] / h
        h->0 

cherche equation tangeante en "a"

(T1) : y = f'(a)(x-a)+ f(a)

les derivees e connaitre : 
  k = 0
  x = 1
  x2 = 2x
  x3 = 3x2
  x^n = nx^ n-1
  mx+p = m
  ax2 + bx + c = 2ax +b
  1/x = -1/x2
  √x = 1/2√x
  
  derivees composees 
  
  produit :
  u'v+v'u
  
  quotient :
  (u'v-v'u)/v^2
  
  exponentielle :
    (E^u = u'*e^u)
    
  racine carrée :
    V(u)'= u'/2*V(U)
    
  puissance : 
    (u^n)'= u'*n*u^(n-1)
  
  composee
  V'(x)*U'(v(x))

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