Monotone​(AngouriMath.​Entity,​AngouriMath.​Entity.​Variable,​AngouriMath.​Entity)

The direction a quotient of polynomials runs in on an interval: 1 where it is
strictly increasing, -1 where strictly decreasing, 0 where it is neither,
and null where that is not settled here. A differentiable function is
strictly monotone exactly where its derivative keeps one sign away from the points
where it is zero: the derivative of x^3 is zero at 0 and positive on either
side, and that of x^2 changes sign at 0. A pole inside the interval leaves it
unsettled.