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 $f'(0) \neq 0$. Sa se arate ca exista cel putin un punct $c \in (-1,1), c \neq 0$, cu proprietatea ca \[2cf(c) + \int_{0}{c} f(x)\, dx \geq 0\].