What are the absolute extrema of #f(x)=x-sqrt(5x-2) in(2,5)#?
There are no absolute extrema in the interval
To find absolute extrema we need to find the first derivative and perform the first derivative test to find any minimum or maximums and then find the
Find the first derivative:
Find critical value(s)
Square both sides:
Since the domain of the function is limited by the radical:
We only need to look at the positive answer:
Since this critical point is
This means the absolute extrema are at the endpoints, but the endpoints are not included in the interval.