[tex]\dfrac{dy}{dx} =4\dfrac{d}{dx}\bigg(\dfrac{1}{\cos(x)}\bigg)+\dfrac{d}{dx}\bigg(\dfrac{1}{\tan(x)}\bigg)=4\dfrac{d}{dx}(\sec(x))+\dfrac{d}{dx}(\cot(x))=\\\\=4\sec(x)\tan(x)-\csc^2(x)[/tex]
