Suppose that $g$ is a function with $g^{\text{'}}(1)=3.$

Let $f$ be the function defined by

$f(x)=g(2co{s}^2(x)).$

Compute $f^{\text{'}}(\frac{}{4}).$

A$.-6($CORRECT$)$

B$.-3$

C$.-2$

D$.2$

E$.3$