Please show work and explain how you arrived at your answer. Thank you.

Verify that Flolle's Theorem can be applied to the iunction f(:1:) = :33 10:32 l 27:1: 18 on the interval [1,6]. Then find all values of c in the interval such that f' (c) = 0. Enter the exact answers in increasing order. To enter , type sqrt(a). :Ia :Im Show your work and explain, in your own words, how you arrived at your answers