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Sagot :

1/une fonction carre est croissante sur[0,+&[
2/f(x)=2x^3-x^2+2x-4/x^2+1
f(x)=2x^3-x^2+2x-1/x^2+1 - 3/x^2+1
f(x)=x^2(2x-1)+2x-1/x^2+1 -3/x^2+1
f(x)=(2x-1)(x^2+1)/x^2+1 -3/x^2+1
f(x)=2x-1-3/x^2+1

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