Given the function #f(x)=5-4/x#, how do you determine whether f satisfies the hypotheses of the Mean Value Theorem on the interval [1,4] and find the c in the conclusion?
2 Answers
The answer below is for the mean value theorem for derivatives.
Explanation:
You determine whether it satisfies the hypotheses by determining whether
You find the
Answers
So
So
Therefore this function satisfies the hypotheses of the Mean Value Theorem on this interval.
To find
You should get
The answer below is for the Mean Value Theorem for integrals for
Explanation:
Therefore, there is a
Now,
To find
So we want