^{1} In some contexts, Hessian is also denoted by aseparate symbol, e.g. **H**(**x**). The alternative notation ∇^{2}*f*(x), as used in some texts, is discouraged, because the symbol ∇^{2} is reserved for the Laplacian operator.

^{2} In some calculus texts, this determinant is referred to as the *Jacobian*. But, we call it the *Jacobian determinant*, because we have reserved the term Jacobian for the corresponding matrix, according to the standard terminology.

^{3} Such higher order formulae may be useful in maintaining the required accuracy at the extreme points of a finite domain, where we have to resort to a forward or backward formula, since the function would ...

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