factorisation peu lisible
Publié : dim. nov. 23, 2014 3:39 pm
Code : Tout sélectionner
0>> E:=sqrt(x^3+3x^2-81x+77)
sqrt(x^3+3*x^2-81*x+77)
// Time 0.01
1>> factor(E')
3*(x+%%{[-1,1]:[1,0,-28]%%})*(x+%%{[1,1]:[1,0,-28]%%})/(2*sqrt(x^3+3*x^2-81*x+77))
// Time 0
Derivative of a sum: (u+v+...)'=u'+v'+...
with u,v,...=x^3,3*x^2,-81*x,77
Derivative of a power: (x^3)'=3*x'*(x)^(3-1)
Derivative of a power: (x^2)'=2*x'*(x)^(2-1)
Derivative of a power: (x^3+3*x^2-81*x+77^1/2)'=1/2*x^3+3*x^2-81*x+77'*(x^3+3*x^2-81*x+77)^(1/2-1)
