Let C be the curve `y^(3) - 3xy + 2 =0`. If H is the set of points on the curve C, where the tangent is horizontal and V is the set of points on the curve C, where the tangent is vertical, then H = … and V = … .

Consider the curve represented parametrically by the equation x=t^(3)-4t^(2)-3t and y=2t^(2)+3t-5 where t in R. If H denotes the number of point on the curve where the tangent is horizontal and V the number of point where the tangent is vertical then

The points on the curve x^2=3-2y , where the tangent is parallel to x+y=2, is

The points on the curve y=sin x ,where the tangent is parallel to the x axis is

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

At what points on the curve x^(3)+y^(3)=6xy is the tangent line horizontal?

Find the points on the curve x^2=4y , where the tangents from (4,0) meet the curve.

Find the points on the curve y=x^(4)-6x^(2)+4 where the tangent line is horizontal.

The number of point(s) on the curve y^(3)=12y-3x^(2) where a tangents is vertical is/are