Question

Решите производную.....

Answer 1

Произведение функций =  u(x)=√x,  v(x) = 1/(4+x).

g(x) = 1/(2*√x  * 1/(4+x)) - √x/(4+x)² - ОТВЕТ

Answer 2

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