Question

Помогите с производной, СРОЧНО пж

Answer 1

$f(x)=\frac{\sqrt{x}-1}{\sqrt{x}}=\frac{\sqrt{x}}{\sqrt{x}}-\frac{1}{\sqrt{x}}=1-\frac{1}{\sqrt{x}}=1-x^{-\frac{1}{2}}\\\\f'(x)=-(-\frac{1}{2})\cdot x^{-\frac{3}{2}}=\frac{1}{2\sqrt{x^3}}\\\\f'(1)=\frac{1}{2}$

Answer 2

у'={√х/(2√х)-[(1/(2√х))*(1/√х-1)]}/х={1/2-(1/2-1/(2√х))}/х=1/(2х√х) , при х=1 у'=1/2 -ответ кнопка 1