Discuss on the Mean Value Theorem

Principle purpose of this article is to Discuss on the Mean Value Theorem. Here explain Mean Value Theorem with mathematical explanation in calculus terms. Mean Value Theorem establishes a relation focusing the slope of a tangent line into a curve and the secant line through points on a curve at the endpoints of interval. The theorem is stated as follows. If a function f(x) is continuous on a closed interval (a, b) and differentiate on an open interval (a, b), then a minimum of one number c ∈ (a, b) exists so that, f'(c) = f(b) – f(a)/b-a.