Maxima and minima

The role mean value theorem is extended by the Lagrange mean value theorem. According to the theorem, there exists a point on a curve between two points where the tangent is parallel to the secant line passing between these two points. The lone mean value theorem is another name for the Lagrange mean value theorem. […]

A factor is a number that divides a given number exactly in mathematics. A factor is also known as the divisor of a given number in another way. A factor divides a given number by zero and leaves a remainder. The multiplication or division methods can be used to find the factor of any number.

A function is guaranteed to have both a maximum and a minimum value by the Extreme Value Theorem, provided that certain requirements are met.  Establishing that the function is continuous on the closed interval is the first step in the process of applying the Extreme Value Theorem.  This is done so that the results of

The squeeze theorem is a theorem about the limit of a function caught between two other functions in calculus. In calculus and mathematical analysis, the squeeze theorem is used to validate the limit of a function by comparing it to two other functions whose limits are known. It was initially utilised geometrically by the mathematicians

Clairaut’s equation is a differential equation in mathematics with the form y = x (dy/dx) + f(dy/dx), where f(dy/dx) is a function of just dy/dx. The equation is named after Alexis-Claude Clairaut, a French mathematician and physicist who invented it in the 18th century. He took part in an excursion to Lapland in 1736 with