How many tangents are parallel to X-axis for the curve `y = x^2 - 4x + 3` ?

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

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.

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.

For the curve x^(2)+4xy+8y^(2)=64 , the tangents are parallel to the x-axis only at the points-

Find points on the curve (x^(2))/(4)+(y^(2))/(25)=1 at which the tangents are (i) Parallel to X - axis (ii) Parallel to Y - axis.

Find the points on the curve y=x^3-2x^2+x at which the tangents are parallel to x-axis. Also find the tangents at these points.

For the curve x^(2)+ 4xy + 8y^(2) = 64 the tangents are parallel to the x-axis only at the points

Find points on the curve (x^(2))/(4) +(y^(2))/(25) =1 at which the tangents are (i) parallel to x-axis (ii) parallel to y-axis.

Find points on the curve (x^(2))/(4) +(y^(2))/(25) =1 at which the tangents are (i) parallel to x-axis (ii) parallel to y-axis.

Find points on the curve (x^(2))/(4) +(y^(2))/(25) =1 at which the tangents are (i) parallel to x-axis (ii) parallel to y-axis.