Compute the derivative $of$ the function

$f(x)=(4x^2-x+1{)}^7(1+\sqrt[\phantom{2}]{?}x)$

Select one:

$a.7(4x^2-x+1{)}^6(1+\sqrt[\phantom{2}]{?}x)$

$+(4x^2-x+1{)}^7(\frac{1}{2}{x}^{-\frac{1}{2}})$

$b.7(4x^2-x+1{)}^6(8x-1)(1+\sqrt[\phantom{2}]{?}x)$

$-(4x^2-x+1{)}^7(\frac{1}{2}{x}^{-\frac{1}{2}})$

$c.7(4x^2-x+1{)}^6(8x-1)(1+\sqrt[\phantom{2}]{?}x)$

$+(4x^2-x+1{)}^7(\frac{1}{2}{x}^{-\frac{1}{2}})$

$d.7(4x^2-x+1{)}^6(8x-1)(1+\sqrt[\phantom{2}]{?}x)$

$+(4x^2-x+1{)}^7(\frac{1}{2}\sqrt[\phantom{2}]{?}x)$