Explications étape par étape:
2(x^2+2/x^2+1)'*(x^2+2/x^2+1)
=2(2x(x^2+1)+2x(x^2+2)/(x^2+1)^2)*(x^2+2/x^2+1)
=2((2x^3+2x+2x^3+4x)/(x^2+1)^2)*(x^2+2/x^2+1)
=2(4x^3+6x/(x^2+1)^2)*(x^2+2/x^2+1)
=2(4x^5+14x^3+12x/x^4+2x^2+1)
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Explications étape par étape:
2(x^2+2/x^2+1)'*(x^2+2/x^2+1)
=2(2x(x^2+1)+2x(x^2+2)/(x^2+1)^2)*(x^2+2/x^2+1)
=2((2x^3+2x+2x^3+4x)/(x^2+1)^2)*(x^2+2/x^2+1)
=2(4x^3+6x/(x^2+1)^2)*(x^2+2/x^2+1)
=2(4x^5+14x^3+12x/x^4+2x^2+1)