There are two conditions to check whether any function satisfies mean value theorem
That function needs to be continuous on given interval
Here, we know that x can not be only 0
and 0 does not lie on [1/8 , 8]
So, this function is continuous over entire interval
Since, there is no sharpe edge in this function
and function is continuous on given interval
So, this function must be differentiable on (1/8 , 8)
So, this function satisfies mean value theorem
This function satifies mean value theorem
We can use mean value theorem formu...
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