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Find the coordinates of the point on the curve `y=(x)/(1+x^(2))` where the tangent to the curve has the greatest slope.

A

`(0,0)`

B

`(sqrt3, (sqrt3)/(4))`

C

`(-sqrt3, -(sqrt3)/(4))`

D

`(1, (1)/(2))`

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The correct Answer is:
A
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