For the curve $$y=x^3-3x,$$ find: the coordinates of the points where the tangent is parallel to \(y

Question

For the curve $$y=x^3-3x,$$ find: the coordinates of the points where the tangent is parallel to $y=9x+1$; the coordinates of the points where the tangent is horizontal; the equations of the normals at the points found in part (b).

Accepted Answer

(a) $(2,2),(-2,-2)$; (b) $(1,-2),(-1,2)$; (c) $x=1,\ x=-1$.

Differentiation

Differentiation