Question

=_=.....state mean value theorem​

Answer 1

Answer:

The Mean-Value Theorem. The Mean Value Theorem is one of the most important theoretical tools in Calculus. It states that if f(x) is defined and continuous on the interval [a,b] and differentiable on (a,b), then there is at least one number c in the interval (a,b) (that is a < c < b) such that. The Mean Value Theorem states that if a function f is continuous on the closed interval [a,b] and differentiable on the open interval (a,b), then there exists a point c in the interval (a,b) such that f'(c) is equal to the function's average rate of change over [a,b]. The Mean Value Theorem states that, given a curve on the interval [a,b], the derivative at some point f(c) where a < c="">< b="" must="" be="" the="" same="" as="" the=""> slope from f(a) to f(b). In the graph, the tangent line at c (derivative at c) is equal to the slope of [a,b] where a <>.