Find the points at which the tangent to the curve `y = x^3 -3x^2-9x+7` is parallel to the line X- axis

Find the point or points at which the tangent to the curve y=x^4/4-2x^2 is parallel to the X-axis.

Show that the tangent at no point on the curve y= x^3 + 3x can be parallel to the X-axis.

Find the equation of the tangent line to the curve y = x^2-2x+7 which is parallel to the 2x -y +9 = 0

Find the point at which the tangent to the curve y = sqrt(4x - 3) - 1 has its slope 2/3. Also, find the equation of the tangent at that point.

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

Find the points on the curve y = x^3 + 2x^2 - 3x + 1 , the tangents at which is parallel to the line 4x-y=3

Find the inclination of the tangent to the curve 2y = 2-x^2 at the point(1,1/2)to the positive X-axis.

Find the sldpe of the tangent to the curve y=x^4-4x^2+8 at the point (1,5)

Find the slope of the tangent to the curve y = x^3 - 3x + 2 at the point whose abscissa is 3.

Find the slope of-the tangent to the curve y = (3 - 4x)^2 at the point (1, 1).