Fermat’s Theorem states that any relative maximum or minimum of a differentiable function within its domain must occur at a stationary point, that is, a point where the first derivative is equal to...

The Lagrange’s theorem, also known as the mean value theorem, states the following. Consider a function f ( x ), continuous in the closed and bounded interval [

Cauchy’s Theorem establishes a relationship between the changes of two functions over a given interval. Specifically, if f ( x ) and g ( x

L’Hôpital’s rule is a method for evaluating certain limits that result in indeterminate forms. The theorem establishes a criterion for resolving the indeterminate form of the limit of one or more...