In mathematics, the second partial derivative test is a method in multivariable calculus used to determine if a critical point of a function is a local...

the second derivative, or the second-order derivative, of a function f is the derivative of the derivative of f. Informally, the second derivative can...

In calculus, a derivative test uses the derivatives of a function to locate the critical points of a function and determine whether each point is a local...

In mathematics, a partial derivative of a function of several variables is its derivative with respect to one of those variables, with the others held...

of second derivatives (also called the equality of mixed partials) refers to the possibility of interchanging the order of taking partial derivatives of...

)}{\partial \mathbf {x} }}.} It therefore generalizes the notion of a partial derivative, in which the rate of change is taken along one of the curvilinear...

f(b)\,-\,{\frac {\partial L}{\partial f'}}(a)\delta f(a)\,} where the variation in the derivative, δf ′ was rewritten as the derivative of the variation...

the derivative, one repeatedly applies partial derivatives with respect to different variables. For example, the second order partial derivatives of a...

Hessian or (less commonly) Hesse matrix is a square matrix of second-order partial derivatives of a scalar-valued function, or scalar field. It describes...

minimum, or neither by using the first derivative test, second derivative test, or higher-order derivative test, given sufficient differentiability. For...