Cristian Calude, proba pe echipe, R.II, P.IV
Posted: Thu Nov 06, 2008 4:51 pm
Sa se determine \( f,g: (1,\infty) \rightarrow \mathbb{R} \), astfel incat \( g(x)=-x\cdot lnx \cdot f \prime (x) \) si \( f(x)=-x \cdot lnx \cdot g\prime (x) \), \( \forall x > 1 \)