Question number $12.$

Given $f(x)=(10x5{)}^4\sqrt[\phantom{2}]{3x2},$ find the derivative of this function.

$f^{\text{'}}(x)=40(10x5{)}^3\sqrt[\phantom{2}]{3x2}\frac{1875(2x1{)}^4}{\sqrt[\phantom{2}]{3x2}}$

$f^{\text{'}}(x)=40(10x5{)}^3\sqrt[\phantom{2}]{3x2}\frac{1875(2x1{)}^4}{2\sqrt[\phantom{2}]{3x2}}$

$f^{\text{'}}(x)=4(10x5{)}^3\sqrt[\phantom{2}]{3x2}\frac{625(2x1{)}^4}{2\sqrt[\phantom{2}]{3x2}}$

$f^{\text{'}}(x)=10(10x5{)}^3\sqrt[\phantom{2}]{3x2}\frac{1875(2x1{)}^4}{2\sqrt[\phantom{2}]{3x2}}$

$f^{\text{'}}(x)=4(10x5{)}^3\sqrt[\phantom{2}]{3x2}\frac{1875(2x1{)}^4}{2\sqrt[\phantom{2}]{3x2}}$

None of the above.