consider the function f(x)= x^3+1 and g(x) = 1/ (x^3+1) . The graphs of y=f(x) and y=g(x) meet at the point (0,1) and one other point P.
(a) find the coordinates of P .
(b) Calcualte the size of the acute angle between the tangents to the twp graphs at the point P