Extended Generalized Mean Value Theorem for Functions of One Variable

In this manuscript, we state and prove a theorem of a similar flavour to the Generalized Mean Value Theorem for functions of one variable.For lack of a better term, we call the theorem ``Extended Generalized Mean Value Theorem'' and we abbreviate it EGMVT.In addition, we apply Rolle's Theorem to prove the theorem.Also, we deduce some corollaries for Mean Value Theorems.In addition, the EGMVT is verified by use of an example.