To verify Lagrange's Mean value Theorem which one is essential.
Continous in closed interval and differentiable in closed interval
Continous in open interval and differentiable in open interval
Continous in open interval and differentiable in closed interval
Continous in closed interval and differentiable in open interval
Continous in closed interval and differentiable in open interval
Continous in closed interval and differentiable in open interval.