chap3_deriveefxlogarithme.py

Created by comecp

Created on February 28, 2024

356 Bytes

Df : ]O;+inf[

  e^0=1  ln1=0
e^1=e  lne=1
e^-1=1/e  ln1/e=-1

ln(x×y)=lnx+lny
ln1/x=-lnx
lnx/y=lnx-lny
ln√x=1/2lnx
lnx^n=nlnx

(lnx)'=1/x
equation de la tangente: f'(a)(x-a)+f(a)

lim lnx/x = 0 quand x tend vers +inf
lim lnx/x^n = 0 quand x tend vers +inf
lim xlnx = 0 quand x tend vers 0 
lim x^nlnx=0 quand x tend vers 0

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