2015-12-1: Difference between revisions
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Fie <math>f:[-1,1]\to \mathbb{R}</math> o funcție crescătoare, derivabila pe <math>[-1,1]< | Fie <math>f:[-1,1]\to \mathbb{R}</math> o funcție crescătoare, derivabila pe <math>[-1,1]</math> cu $f'(0) \neq 0$. Sa se arate ca exista cel putin un punct $c \in (-1,1), c \neq 0$, cu proprietatea ca \[2cf(c) + \int_{0}{c} f(x)\, dx \geq 0\]. | ||
Revision as of 13:37, 2 September 2023
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 \[2cf(c) + \int_{0}{c} f(x)\, dx \geq 0\].