Consider the function f(x)=4sqrt(x)+4 on the interval [2,5] . Find the average or mean slope of the function on this interval _______ <---A


By the Mean Value Theorem, we know there exists a c in the open interval (2,5) such that f'(c) is equal to this mean slope. For this problem, there is only one c that works. Find it. _______ <---B

A=?
B=?

1 answer

average slope=(f(5)-f(2))/(5-2)

set average slope above to equal
f=-2/sqrt(x) then solve for x.