Fie f : [ − 1 , 1 ] → R {\displaystyle f:[-1,1]\to \mathbb {R} } o funcție crescătoare, derivabila pe [ − 1 , 1 ] {\displaystyle [-1,1]} cu f ′ ( 0 ) ≠ 0 {\displaystyle f'(0)\neq 0} . Sa se arate ca exista cel putin un punct c ∈ ( − 1 , 1 ) , c ≠ 0 {\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)
