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JEE Advanced Mathematics question

MathematicsMethods of DifferentiationsJEE Advanced

The differential coefficient of with respect to at is

Answer: (A)

Solution

Let , ; at , . Then and

y = \operatorname{cosec}^{-1}( 2θ) = \operatorname{cosec}^{-1}{\operatorname{cosec}(-2θ)} = - 2θ,

valid while $-2θ

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Question ID VK-109223