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`

Find the points on the curve x^(2) + y^(2) – 2x – 3 = 0 at which the tangents are parallel to the x-axis.

Prove that points of the curve y^2=4a{x+asin(x/a)} at which tangents are parallel to x-axis lie on the parabola.

Find the point on the curve y=x^(2)-5x+4 at which the tangent is parallel to the line 3x + y = 7.

At what point on the curve y=x^(2) on [-2, 2] is the tangent parallel to X-axis?

At what points on the curve x^(3) - 12x +18=0 the tangent is parallel to X axis.

The point of curve y= 2x^(2) - 6x -4 at which the tangent is parallel to x-axis is

Apply Rolle's theorem to find points on the curve y = -1 + cos 2x where the tangent is parallel to x axis (0 , pi)

Find the point on the curve y^2=a x the tangent at which makes an angle of 45^@ with the x-axis.

Show that there lies a point on the curve f(x)=x(x+3)e^(pi/2),-3lexle0 where tangent drawn is parallel to the x-axis.