probleme matematica

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49 PROBLEME DE MAXIM SI MINIM IDENTITATI ; INEGALITATI 1.Fie functia f(x)=arctg(lnx), , ). Daca 1<a<b aratati inegalitatea: 2.Fie functia f(x)= . Daca 0<a<b< , atunci exista inegalitatea e a sin( 3.Fie functia f(x)=ln (lnx), x>0. Folosind Teorema lui L. aratati ca : 4. Demonstrati inegalitatile: 5.Folosind functia f(x)= x+b+c-3 3 ,aratati ca a+b+c≥3

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Probleme matematica

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49PROBLEME DE MAXIM SI MINIM IDENTITATI ; INEGALITATI

1.Fie functia f(x)=arctg(lnx), ,). Daca 1