Please help with 30.Answer is 4.

Please share multiple approaches to this question.

quite easy problem

take log both side ........(1)

dy/dx=\frac{1-\frac{y}{x}}{log{2x}+1}

now substitute y from first eqn

will get d as ans...

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Thanks a lot. WAS complicating it a lot by myself

Also Can we do this question by taking everything in terms of e. Rather than ln()

then how you will find value of y if you will dont take log i was thinking 2nd mthd by comparing coefficient by converting lhs in term of e

Do you think its of jee main 2019 as it is mentioned in his book but i have arihant 41 years paper where all questions of every shift are there i couldn't find this question