JEE Advance - Mathematics (1983 - No. 16)
Find the coordinates of the point on the curve $$y = {x \over {1 + {x^2}}}$$
where the tangent to the curve has the greatest slope.
where the tangent to the curve has the greatest slope.
(1, 1/2)
(0, 0)
(-1, -1/2)
(2, 2/5)
(-2, -2/5)