The mean value theorem is used to link the average rate of change and the derivative of a function.
The value of V is 8.
The givenparameters are:
Mean value theorem states that:
If [a,b] and
(a,b),
Then there is a point c in (a,b), such that:
From the question, we understand that: f is differentiable
This means that:
avethat:
The equation becomes
Cross mltiply
o both side
From the question, we have:
By comparisons;
Hence, the value of V is 8.