Answer:
Step-by-step explanation:
Given
Required
Determine the minimum and maximum value of f(4) - f(2)
This question will be answered using the following mean value theorem.
In this case: and
So, we have:
Make f(4) - f(2), the subject:
From the given range:
We have that; f'(x) is at minimum at 4
So, the minimum of f(4) - f(2) is:
We have that; f'(x) is at maximum at 5
So, the maximum of f(4) - f(2) is:
Hence, the minimum and maximum values can be expressed as: