Does the function f(x)=#sqrtx# satisfy the hypothesis of the Mean Value Theorem on the closed interval [0,4]? Then find all numbers c that satisfy the conclusion of the Mean Value Theorem
#sqrtx#
1 Answer
Apr 7, 2018
Explanation:
The Mean Value Theorem tells us that if we have some function
In other words, at some point, the derivative will be equal to the function's average rate of change.
So, we're given
Take the first derivative:
Adjust for
Equate to the average rate of change over the interval: