Question

Decide whether Rolle's theorem can be applied to f(x) = x2 + 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

Any idea?

Answer 2

Is\[f(0) = f(3)\]

Answer 3

no

Answer 4

That's a major condition in Rolle's theorem, so we cannot apply it here.

Answer 5

okay