[tex] f:\mathbb_{R}\rightarrow R,$ $ $ $ f(x)=(x-1)^2\\ \\ f'(x) = 2\cdot (x-1)^{2-1}\cdot(x-1)' = 2(x-1) = 2x-2\\ \\ f'(x) = 0 \Rightarrow 2x-2 = 0 \Rightarrow 2x = 2 \Rightarrow x = 1.\\ \\ $Nu avem capete inchise de intervale in domeniu sau codomeniu.\\ \\ \Rightarrow x = 1, $ singurul punct de extrem local.[/tex]
