Find the derivatives of the following functions: (I) [(√x+1)/(√x-1)] (II) [(secx+tanx)/(secx-tanx)] (III) [(1+u+u²)/(1-u+u²)]

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f (x) = \frac{s e c x + t a n x - 1}{t a n x - s e c x + 1} : x ϵ (0, \frac{π}{2})

\frac{1}{s e c x - t a n x} - \frac{1}{c o s x} = ?

\frac{1}{s e c x - t a n x} - \frac{1}{c o s x} = ?

\frac{t a n x}{s e c x - 1} - \frac{s i n x}{1 + c o s x} =

(s e c x^{\circ} - t a n x^{\circ}) (s e c x^{\circ} + t a n x^{\circ})

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