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

Find the coordinates of the points on the curve y=x^2+3x+4, the tangents at which pass through the origin.

Find the coordinates of the points on the curve y=x^2+3x+4 , the tangents at which pass through the origin.

Find the coordinates of the point on the curve y^2=3-4x where tangent is parallel to the line 2x+y-2=0 .

Write the coordinates of the point on the curve y^2=x where the tangent line makes an angle pi/4 with x-axis.

Find the coordinates of the point on the curve, y= (x^(2)-1)/(x^(2) + 1) (x gt 0) where the gradient of the tangent to the curve is maximum

Find the points on the curve 2a^2y=x^3-3a x^2 where the tangent is parallel to x-axis.

Find the point on the curve y=x^2 where the slope of the tangent is equal to the x-coordinate of the point.

Find the point on the curve y=x^2-2x+3 , where the tangent is parallel to x-axis.

Find the point on the curve y=x^2 where the slope of the tangent is equal to the x- coordinate of the point.

Find the equation of the tangent to the curve y=(x^3-1)(x-2) at the points where the curve cuts the x-axis.