Given the function #f(x)=-(6x+24)^(2/3)#, how do you determine whether f satisfies the hypotheses of the Mean Value Theorem on the interval [-4,-1] and find the c?
1 Answer
See below.
Explanation:
The Mean Value Theorem has two hypotheses:
H1 :
H2 :
In this question,
We can apply the Mean Value Theorem if both hypotheses are true.
This function is continuous on its domain,
So
Therefore
So we know that there is a
To find the
to get