Respostas

  • Usuário do Brainly
2014-07-12T12:48:33-03:00
F(x)=x²-x+1 / x+1

~~> Tomemos g(x)=x²-x+1 e h(x) = x+1.

f(x)=g(x)/h(x)

~~> f'(x)= g'(x).h(x) - h'(x).g(x) / [h(x)]²

g'(x)=2x-1
h'(x)=1

f'(x)=(2x-1) .(x+1) - 1.(x²-x+1) / (x+1)²
f'(x)=2x²+2x-x-1 -x²+x-1 / (x+1)²
f'(x)=x²+2x-2/(x+1)²
f'(x)= (x+1)² -3 / (x+1)²
f'(x)= 1 - 3/(x+1)²