2015-12-1
Fie o funcție crescătoare, derivabila pe 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 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 c \in (-1,1), c \neq 0} , cu proprietatea ca Failed to parse (syntax error): {\displaystyle \[2cf(c) + \int_{0}{c} f(x)\, dx \geq 0\]} .
![{\displaystyle f:[-1,1]\to \mathbb {R} }](https://wikimedia.org/api/rest_v1/media/math/render/svg/1bd6b3e94215c6224a6e70a62a912110cbf6a249)
![{\displaystyle [-1,1]}](https://wikimedia.org/api/rest_v1/media/math/render/svg/51e3b7f14a6f70e614728c583409a0b9a8b9de01)