Mathematics

Mathematics

Problem

The point on the curve y=x1+x2y = \frac{x}{1+x^2} where the tangent to the curve has greatest slope is : (A) (0, 0) (B) (3,34)\left(\sqrt{3}, \frac{\sqrt{3}}{4}\right) (C) (−3,−34)\left(-\sqrt{3}, -\frac{\sqrt{3}}{4}\right) (D) None of these

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