Question

Decide whether Rolle's Theorem can be applied to f(x) = x^2 + 5 on the interval [0, 3]. If Rolle's Theorem can be applied, find all value(s) of c in the interval such that f '(c) = 0.

Answer 1

Sorry, I don't recall Rolle's Theorem, but I'm sure the Profs taught it to me. It is review time for me.

Answer 2

Oh that's ok !

Answer 3

we have this:
\(f(0)=5\) and \(f(3)=9+5=14\), so \(f(0) \neq f(3)\), and we can not apply the theorem of Rolle

Answer 4

ohh ok haha

Answer 5

thank you!

Answer 6

:)