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Question

If x=yxyx.......then dydx at x=1 is

A
1
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B
2
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C
5
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D
7
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Solution

The correct option is A 1
x=yxyx.......x=yxx lnx=xx lny
Differentiating on both sides 1x=xx(1+lnx)lny+xxy.y
Also x=1y=1
Therefore y=1

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