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e^(y)+xy=e, then orderd pair ((dy)/(dx),...

`e^(y)+xy=e`, then orderd pair `((dy)/(dx),(d^(2)y)/(dx^(2)))` at `y=1`, is

A

`((1)/(e),-(1)/(e^(2)))`

B

`(-(1)/(e),(1)/(e^(2)))`

C

`((1)/(e),(1)/(e^(2)))`

D

`(-(1)/(e),-(1)/(e^(2)))`

Text Solution

Verified by Experts

The correct Answer is:
B
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