Question

derivada primeira da função f(x)=(x²/x+1)+x².(x+1)

Answer 1

[2x(x+1) -1(x^2) ] \ (x+1)^2  +2x(x+1)+1.x^2= [2x^2 + 2x-x^2] \ (x+1)^2    +2x^2 +2x +x^2

[x^2 +2x]\(x+1)^2  +3x^2 +2x
[(x^2+2x)]\ (x+1)^2  +3x^2 +2x
[(x^2 +2x) +(3x^2 +2x)(x+1)^2]\(x+1)^2
[x^2 +2x +3x^3 +3x^2 +2x^2 +2x]\(x+1)^2
[6x^2 +3x^3 +4x]\(x+1)^2
[3x^2(2 +x) +4x]\(x+1)^2