Find the derivative of $y=\sec \left(\tan x\right)$.

• A. $y^{\prime }={\sec }^{2}x\sec \left(\tan x\right)\tan \left(\tan x\right)$
• B. $y^{\prime }=\sec x\tan x$
• C. $y^{\prime }=-\sec \left(\tan x\right)\tan \left(\tan x\right)$
• D. $y^{\prime }=-\sec x\tan x$