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Question: Answered & Verified by Expert

If l n x + y = 2 x y , then y 0 is equal to

MathematicsDifferentiationJEE Main
Options:
  • A 1
  • B 1
  • C 2
  • D 0
Solution:
2918 Upvotes Verified Answer
The correct answer is: 1
Given equation is ln( x+y )=2xy ...(1)

For x=0

ln( 0+y )=2.0.y=0

lny=0

y=1

Now, differentiating (1), we get,

1x+y1+dydx=2y+2xdydx

At point (0,1), we get,

10+11+dydx=21+2.0.dydx

1+dydx=2

dydx=1=y'(0)

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