big.py

Created by granier-kloon

Created on November 27, 2025

493 Bytes

non


f est continu sur I si f est
dérivable sur I.
Si f est continu et a est dans I
l'équation f(a) = x admet au
moins 1 solution.
Si en plus f est monotone sur I
(que croissant ou décroissant)
alors f(a) = x adment 1 solution
(corrolaire)

Si Un converge vers a, 
f(Un) = Un+1 et f est continu
sur I, alors Un a pour limite
a, qui est solution de f(x) = x

(e^^u)' = u'e^^u
(u^^n)' = nu'u^^(n-1)
si u est positif, 
racine(u)' = u'/2racine(u)

utiliser les racines pour
faire f(x) = x

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