\[\text{Найти}\ \ f'(x),\ \ \text{если}\ \ f(x) = \frac{x^2+3}{x-1}.\] \[f'(x) = \frac{x^2-2x-3}{(x-1)^2}.\] \[f'(x) = \frac{x^2-2x+3}{(x-1)^2}.\] \[f'(x) = \frac{x^2+2x+3}{(x-1)^2}.\] \[f'(x) = 2x\]

Задание

\[\text{Найти}\ \ f'(x),\ \ \text{если}\ \ f(x) = \frac{x^2+3}{x-1}.\]

\[f'(x) = \frac{x^2-2x-3}{(x-1)^2}.\]
\[f'(x) = \frac{x^2-2x+3}{(x-1)^2}.\]
\[f'(x) = \frac{x^2+2x+3}{(x-1)^2}.\]
\[f'(x) = 2x\]