Question

Rolle's Theorem help!

Answer 1

You have to find the derivative of f(x)

\[f^\prime = 2 -\frac{2}{3}(x-1)^\frac{-1}{3}(3-x)^\frac{1}{3} -\frac{1}{3}(x-1)^\frac{2}{3}(3-x)^\frac{-2}{3}\] and then test for different c values