Respuesta :

Answer:

f'(x) = [tex]\frac{4}{(x+4)^2}[/tex]

Step-by-step explanation:

f(x) = [tex]\frac{x}{x+4}[/tex]

use quotient rule

f'(x) = [tex]\frac{(x+4)-x}{(x+4)^2}[/tex]

f'(x) = [tex]\frac{4}{(x+4)^2}[/tex]