The number of points where tangents are vertical or horizontal to curve `y^5+9xy-2x=0` , are equal to

If H is the number of horizontal tangents and V is the number of vertical tangents to the curve y^(3)-3xy+2=0, then the value of (H+V) equals

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

The number of points on the curve y=x^(3)-2x^(2)+x-2 where tangents are prarllel to x-axis, is

Find number of vertical tangents to the curve y-e^(xy)+x=0

The slope of the tangent at the point (2-2) to the curve x^(2)+xy+y^(2)-4=0 is given by

The number of points where the curve y=sin x+(1)/(2)sin2x+(1)/(4)sin4x has a horizontal tangent in the intervel (0,pi) is

The number of points where the curve y=sin x+(1)/(2)sin2x+(1)/(4)sin4x has a horizontal tangent in the interval (0,pi) is

The number of points where the curve y=sin x+(1)/(2)sin2x+(1)/(4)sin4x has a horizontal tangent in the intervel (0,pi) is