Question

F(x)=x-1/x+5
Найти производную​

Answer 1

$\displaystyle f(x)=\frac{x-1}{x+5}\\\\f'(x)=\frac{(x-1)'(x+5)-(x-1)(x+5)'}{(x+5)^2}=\frac{x+5-x+1}{(x+5)^2}=\boxed{\frac{6}{(x+5)^2}}$