Respostas

2014-05-05T16:17:55-03:00
Simplificando a função.

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

Agora usar a regra da Cadeia

f'(x)=5( \frac{3x+2}{2x+1} )^4.- \frac{1}{(2x+1)^2}

f'(x)=5\frac{(3x+2)^4}{(2x+1)^4} .- \frac{1}{(2x+1)^2}

\boxed{\boxed{f'(x)=-\frac{5(3x+2)^4}{(2x+1)^6}}}