For x > 1, if (2x)^ 2y = 4e^ 2x-2y , then (1 + _e 2x)^2 dy dx is equal to

MHT CET 2023 Mathematics question

For , if , then is equal to

Answer: (B)

Take natural logs: . Divide by and collect : . Differentiate: , so . Multiply by and use :

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Question ID VK-097314