Formula is true for n=4, n=9, n=19, n=2n^2
Proof is evidence showing something is definitely true or exists. Proofs are first copies of books for corrections before publication. Proof indicates strength of strong alcoholic drinks. Something is proof against means cannot be damaged or affected
Evidence is an uncountable noun used in legal contexts to prove facts. Evidence can be obtained from documents, objects, or witnesses. Evidence can function as a verb meaning to make clear or evident
If f(x) is continuous on [a,b] and differentiable on (a,b), there exists a point c where f'(c) = 0. The theorem was first mentioned by Bhaskara II in ancient India. Michel Rolle proved it in 1691
MVT describes relationship between average and instantaneous rate of change. Requires continuity on interval and differentiability on interval. Secant line must be parallel to at least one tangent line
Rolle's Theorem states that if a function is continuous, differentiable and equal endpoints, then f'(x) = 0. The theorem is a special case of the Mean Value Theorem. The theorem was first proven by Michel Rolle in 1691