Find the two x-intercepts of f(x)=√x and show that f'(x) = 0

Last updated: 7/12/2022

Find the two x-intercepts of f(x)=√x and show that f'(x) = 0 at some point between the two x-intercepts. Determine whether Rolle's Theorem can be applied to f on the closed interval [0, 8]. If Rolle's Theorem can be applied, find all values of c in the open interval (0, 8) such that f'(c) = 0.