Using the principle of the mean-value theorem on the indicated interval, how do you find all numbers c that satisfy the conclusion of the theorem for #f(x) = 5(1 + 2x)^(1/2)# in the interval [1,4]?
1 Answer
Oct 19, 2015
Solve the equation that is the conclusion to the Mean Value Theorem. Choose only the solutions in the interval
Explanation:
Find
The algebra is tedious.
So we need to solve:
So, we need
So
Note that, since