Trigonometry's power (3)

Calculus Level 3

\[\frac{d}{dx}\left(\frac{1-4\cos^2(x)+6\cos^4(x)-4\cos^6(x)+\cos^8(x)}{\sin^8(x)-4\sin^6(x)+6\sin^4(x)-4\sin^2(x)+1}\right) =\, ? \]

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