Find the average of mean slope of the function and the c that exists
Consider the function f(x)=2√(x)+1 on the interval [2,7]. Find the average of mean slope of the function on this interval. (Provide specific answers)
By the mean value theorem, we know there exists a c in the open interval (2,7) such that f prime (c) is equal to this mean slope. For this problem there is only one c that works, find it.