mathderivee.py

Created by camil-kdr

Created on December 07, 2021

522 Bytes

f'(a)=(Yb-Ya)/(Xb-Xa)
f'(a)= [f(a+h)-f(a)]/h lim(h->0)
y= f'(a)(x-a)+f(a)
y= ax+b
y= f'(a)x+b

x     |-inf   -3     8    +inf
------|------------------------
f'(x) |   -    0  +  0   -
------|------------------------
f(x)  |   \        > f(8) \
      |     >     /        >
      f(-3)

calculer les racines avec f(x)

k = 0
ax = x
x^2 = 2x
x^3 = 3x
x^n = nx^n-1
1/x = -1/x2
sqrt(x) = 1/2sqrt(x)

u+v = u'+v'
k*u = k*u'
uv = u'v+uv'
1/u = -(u'/u2)
u/v = (u'v+uv')/v2

EXPONENTIELLE!!!
e**u = (e**u)*u′

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