The coordinates of the point on the curve \( \left(x^{2}+1\right)(y...

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The coordinates of the point on the curve \( \left(x^{2}+1\right)(y-3)=x \) where a tangent to the curve has the greatest slope are given by
(a) \( (\sqrt{3}, 3+\sqrt{3} / 4) \)
(b) \( (-\sqrt{3}, 3-\sqrt{3} / 4) \)
(c) \( (0,3) \)
(d) \( (\sqrt{3}, \sqrt{3} / 4) \)
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