AngouriMath
SignFromVanishingOrder(AngouriMath.Entity,AngouriMath.Entity.Variable,AngouriMath.Entity,AngouriMath.Core.ApproachFrom)
Method (no overloads)
Summary
The sign an expression that vanishes at the destination keeps on one side of it,
ornull where it cannot be read off.
or
Remarks
The sign is read off the first derivative that does not vanish with the expression.
Whereg(a) = 0 and the first non-vanishing derivative there is the k-th,
g(x) has the sign of g_k(a) * (x - a)^k near a, which is the sign of
g_k(a) on the right and that times (-1)^k on the left. Nothing is
claimed unless a derivative comes out finite and non-zero at the point: an expression
that is not differentiable there, or whose derivative diverges assqrt(x) 's
does, is left alone.
Where
claimed unless a derivative comes out finite and non-zero at the point: an expression
that is not differentiable there, or whose derivative diverges as
does, is left alone.
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