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

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

more can be said from the point of view of Morse theory. The second-derivative test for functions of one and two variables is simpler than the general...

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

differentiation Stationary point Maxima and minima First derivative test Second derivative test Extreme value theorem Differential equation Differential...

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

respectively, there.) This is called the second derivative test. An alternative approach, called the first derivative test, involves considering the sign of the...

protein derivative) is a tool for screening for tuberculosis (TB) and for tuberculosis diagnosis. It is one of the major tuberculin skin tests used around...

stationary points, where the first derivative or the gradient of the objective function is zero (see first derivative test). More generally, they may be found...

four kinds, by the first derivative test: a local minimum (minimal turning point or relative minimum) is one where the derivative of the function changes...

The phase line is identical in form to the line used in the first derivative test, other than being drawn vertically instead of horizontally, and the...

the first derivative test, according to which the monotonicity of a function can be defined as the inequality of function's first derivative greater or...

the formal derivative is an operation on elements of a polynomial ring or a ring of formal power series that mimics the form of the derivative from calculus...

the derivative of the function is zero at these points. To determine whether or not the system is stable or unstable, the second derivative test is applied...

calculus, an optimal solution is sought using the first derivative test: the first derivative of the function being optimized is equated to zero, and...

In mathematics, a weak derivative is a generalization of the concept of the derivative of a function (strong derivative) for functions not assumed differentiable...

position of the object changes when time advances. derivative test A derivative test uses the derivatives of a function to locate the critical points of a...

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...

variations, a field of mathematical analysis, the functional derivative (or variational derivative) relates a change in a functional (a functional in this...

statistical inference. If the likelihood function is differentiable, the derivative test for finding maxima can be applied. In some cases, the first-order conditions...

classically differentiable, a weak derivative may be defined by means of integration by parts. First define test functions, which are infinitely differentiable...

directional derivative measures the rate at which a function changes in a particular direction at a given point.[citation needed] The directional derivative of...

protein derivative (PPD) tine test. Common brand names of the test include Aplisol, Aplitest, Tuberculin PPD TINE TEST, and Tubersol. This test uses a...

the Fréchet derivative is a derivative defined on normed spaces. Named after Maurice Fréchet, it is commonly used to generalize the derivative of a real-valued...

of Laplace's method for approximating integrals Maximum and minimum Derivative test Hyperbolic equilibrium point Hyperbolic geometry Minimax theorem Max–min...

logarithmic derivative of a function f is defined by the formula f ′ f {\displaystyle {\frac {f'}{f}}} where f ′ {\displaystyle f'} is the derivative of f....

that does not use derivative information in the classical sense to find optimal solutions: Sometimes information about the derivative of the objective...

the exterior derivative extends the concept of the differential of a function to differential forms of higher degree. The exterior derivative was first described...

can apply a quick derivative test (take the derivative of MRS) to determine if our consumer's preferences are convex. If the derivative of MRS is negative...