Question

найти производную, очень срочно

Answer 1

$f(x)=\frac{2\sqrt{x}-5}{1-2\sqrt{x}}\\\\f(x)=\frac{(2\sqrt{x}-1)-4}{-(2\sqrt{x}\, -1)}=-\Big (1-\frac{4}{2\sqrt{x}\, -1}\Big )=\frac{4}{2\sqrt{x}\, -1}-1=-4\cdot (2\sqrt{x}\, -1)^{-1}-1\\\\f'(x)=-4\cdot (-1)(2\sqrt{x}\, -1)^{-2}\cdot \frac{2}{2\sqrt{x}}=\frac{4}{\sqrt{x}\, \cdot (2\sqrt{x}\, -1)^2}$