If \( x = \sqrt{2^{\text{cosec}^{-1} t}} \) and \( y = \sqrt{2^{\text{sec}^{-1} t}} (|t| \ge 1) \), then dy/dx is equal to :
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Whenever you see inverse trigonometric functions that sum to \( \pi/2 \) in exponents, try multiplying the functions to eliminate the parameter 't'. This simplifies the differentiation significantly. \