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...

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

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

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

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...

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...

by analyzing the derivatives further, using the first derivative test, the second derivative test, or the higher-order derivative test. Intuitively, a...

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...

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 directional derivative is a concept in multivariable calculus that measures the rate at which a function changes in a particular direction at a given...

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...

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...

In mathematics, the total derivative of a function f at a point is the best linear approximation near this point of the function with respect to its arguments...

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

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

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...

protein derivative, is a combination of proteins that are used in the diagnosis of tuberculosis. This use is referred to as the tuberculin skin test and is...

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

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

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

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...

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...

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...

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...

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....