Given: $f(x)=(6x+2{)}^{sin(x)},$ find the first derivative of this function.

$f^{\text{'}}(x)=(6x+2{)}^{sin(x)}[cos(x)ln(6x+2)+\frac{6sin(x)}{6x+2}]$

$f^{\text{'}}(x)=(6x+2{)}^{cos(x)}[cos(x)ln(6x+2)+\frac{6sin(x)}{6x+2}]$

$f^{\text{'}}(x)=(6x+2{)}^{sin(x)}[cos(x)ln(6x+2)+\frac{sin(x)}{6x+2}]$

$f^{\text{'}}(x)=(6x+2{)}^{sin(x)}[cos(x)ln(6x+2)-\frac{6sin(x)}{6x+2}]$

$f^{\text{'}}(x)=(6x+2{)}^{sin(x)}[cos(x)+\frac{6}{6x+2}]$

None of the above.