Consider the function: $f(x)=log((2x+4{)}^3\sqrt[\phantom{2}]{4x^2+2}).$ Find $f^{\text{'}}(x)$

$f^{\text{'}}(x)=\frac{8x^2+4x+3}{(x+2)(2x^2+1)}$

$f^{\text{'}}(x)=\frac{8x^2+4x+3}{(x+2)ln(10)(2x^2+1)}$

$f^{\text{'}}(x)=\frac{10x^2+8x+3}{(x+2)ln(10)(2x^2+1)}$

$f^{\text{'}}(x)=\frac{2x^3+10x^2+3}{(x+2)ln(10)(2x^2+1)}$

$f^{\text{'}}(x)=\frac{4x^2-4x+3}{(x+2)ln(10)(2x^2+1)}$

None of the above.