The derivative of $f(\tan x)$ with respect to $g(\sec x)$ at $x=\frac{\pi}{4}$,where $f^{\prime}(1)=2$ and $g^{\prime}(\sqrt{2})=4$ is

  • A
    $\frac{1}{\sqrt{2}}$
  • B
    $2$
  • C
    $\sqrt{2}$
  • D
    $\frac{1}{2}$

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