It is given that f(x)=2x3+x2−18x+2f(x) = 2x^3 + x^2 - 18x + 2f(x)=2x3+x2−18x+2
The points A A\,A and B B\,B lie on the curve y=f(x)y = f(x)y=f(x), and the gradient of the curve is 2 at both A A\,A and BBB.
Find the coordinates of A A\,A and BBB.