Le test de septembre 2013 vu par WolframAlpha
Avec wolframalpha taper successivement les commandes suivantes :
domain ln(cos(x))
d/dx ln(cos(x))
taylor (1+x^2)/(1+x) at x=0
taylor (1+x^2)/(1+x) at x=1
int (x-1)(x-2) x=0..3
2x-3/2*x^2+x^3/3
2x-3/2*x^2+x^3/3, x from 0 to 3
d/dx 2x-3/2*x^2+x^3/3
(d/dx 2x-3/2*x^2+x^3/3) = 0
(d/dx 2x-3/2*x^2+x^3/3) >0
2x-3/2*x^2+x^3/3 at x=1
2x-3/2*x^2+x^3/3 at x=3
max 2x-3/2*x^2+x^3/3, x from 0 to 3
limit (sin(x)-1)/(x-pi/2) as x->pi/2
Rq autres commandes :
series arctan(x) as x-> infinity
int cos(sqrt(x)+x^3) , x=0..infinity <infinity