2015-12-1

Fie Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle f:[-1,1]\to \mathbb{R}} o funcție crescătoare, derivabila pe Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle [-1,1]} cu Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle f'(0) \neq 0} . Sa se arate ca exista cel putin un punct $c\in (-1,1),c\neq 0$, cu proprietatea ca $2cf(c)+\int _{0}^{c}f(x)\,dx\geq 0$.