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

Using Rolle's theorem, find the point on the curve y=x(x-4), x in [0,4] where the tangent is parallel to x-axis.

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

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

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^2-2x+3 , where the tangent is parallel to x-axis.

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^2-x^2 + 2x-1 = 0 where the tangent is parallel to the x-axis.

Find the points on the curve x^2+y^2-2x-4y+1=0, where the tangent is parallel to y-axis

Find the point on the curve y= 4x - x^2 where the tangent is parallel to-the X-axis.