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If (2x)^(2y)=4(e^(2x-2y) then value of (...

If `(2x)^(2y)=4(e^(2x-2y)` then value of `((dy)/(dx)) (log_e2x+1)^2` is equal to (A) `(xIn2x+In2)/x` (B) `(xIn2x-In2)/x` (C) `(xIn2x-In2)/(2x)` (D) `(xIn2x+In2)/(2x)`

A

`log_(e) 2x`

B

`x log_(e) 2x`

C

`(xlog_e 2x + log_e2)/x`

D

`(xlog_e 2x - log_e2)/x`

Text Solution

Verified by Experts

The correct Answer is:
D
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