Calculus 6

Calculus Level 5

If \(\, y=cos^{-1}\sqrt{\dfrac{\cos{3x}}{\cos^3{x}}} \, \) then \(\, \dfrac{dy}{dx}=\sqrt{\dfrac{a}{\cos{bx}+cos{dx}}} \),

where \(\sin{x}>0 \). Find the value of \(a+b+d\).

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