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...

the derivative is a fundamental tool that quantifies the sensitivity of change of a function's output with respect to its input. The derivative of a...

symmetry of second derivatives (also called the equality of mixed partials) is the fact that exchanging the order of partial derivatives of a multivariate...

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...

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...

a function f of differentiability class C2 (its first derivative f', and its second derivative f'', exist and are continuous), the condition f'' = 0 can...

uniform notation for differentiation. Instead, various notations for the derivative of a function or variable have been proposed by various mathematicians...

The following are important identities involving derivatives and integrals in vector calculus. For a function f ( x , y , z ) {\displaystyle f(x,y,z)}...

sixth derivatives of position are defined as derivatives of the position vector with respect to time – with the first, second, and third derivatives being...