MTH 101.
Topic:
In the mean value theorems, we discuss the continuity of a
given function in the closed interval and the differentiability in the open
interval. Why we don’t discuss its differentiability in the closed interval?
Comments:
According
to the mean value theorem “ we can differentiate the function on the interval
[a,b] and if we are taking continuity of those intervals by using mean value
theorem then we must leave that function which is not differentiable at a and b
while satisfying the conclusions of Mean Value Theorem.
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