Question

Найдите производную
f(x)=(2x-3)/(x+1)

Answer 1

$f'(x)=\frac{(2x-3)'(x+1)-(2x-3)(x+1)'}{(x+1)^2}=\frac{2(x+1)-(2x-3)}{(x+1)^2}=\frac{2x+2-2x+3}{(x+1)^2}=\frac{5}{(x+1)^2}$