derivee.py

Created on April 19, 2024

574 Bytes

taux de variation
f(b )-f (a )
-------------
  b-a
 
limite de f en a
            f (a+h )-f (a )
f'(a )=lim  --------------- 
       h →0       h


tangente
        yM - y A
f'(a )=---------- 
        xM - x A


Equation réduite
y = f '(a) ( x - a ) + f(a)

Dérivées usuelles
f(x)=k   => f '(x)=0
f(x)=x   => f '(x)=1
f(x)=x2(xcarre)   => f '(x)=2x
f(x)=x3(xcube)   => f '(x)=3x2 (xcarre)
f(x)=1/x   => f '(x)=-1/x2(xcarre)
f(x)=racine(x) => f '(x)=1/2racine(x)

(U+V)'=U'+V'
(kU)'=kU'
(U*V)'=U'V+UV'
(U/V)'=(U'V-UV')/V**2
racine(U)=U'/(2*racine(U))

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