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

Find the points at which the tangent to the curve y = x^3 -3x^2-9x+7 is parallel to the line 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 sldpe of the tangent to the curve y=x^4-4x^2+8 at the point (1,5)

Find the sldpe of the tangent to the curve y=(1+x)sinxatx= pi/4

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

Find the inclination to the positive X-axis of the tangent to the curve y= -3x- x^4 at the point where x=-1

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 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 slope pf the tangents to the curve y = x^2 (x + 3) at the points where it crosses the X-axis