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

The coordinates of the point on the curve x^(3)=y(x-a)^(2) where the ordinate is minimum is

Find the coordinates of the point of inflection of the curve f(x) =e^(-x^(2))

The point on the curve y=x^(2) is the tangent parallel to X-axis is

Find the equation of a curve passing through the point (0,2), given that the sum of the coordinates of any point on the curve exceeds the magnitude of the slope of the tangent to the curve at that point by 5 .

Find the point on the curve where tangents to the curve y^2-2x^3-4y+8=0 pass through (1,2).

Find the slope of the tangent to the curve y = x^(3) – x at x = 2.

Find the locus of point on the curve y^2=4a(x+as in x/a) where tangents are parallel to the axis of xdot

Using Rolle's theorem find the point on the curve y=x^(2)+1,-2lexle2 where the tangent is parallel to x-axis.

Find the slope of the tangent to the curve y = 3x^(4) – 4x at x = 4.

Find the slope of the tangent to the curve y= (x-1)/(x-2), x ne 2 at x = 10.