QuestionDetermine whether Rolle's theorem can be applied to $f$ on the closed interval $[a, b]$. (Select all that apply.) $$f(x)=\frac{x^{2}}{9-x^{2}}, \quad[-10,10]$$
Yes, Rolle's theorem can be applied. No, because $f$ is not continuous on the closed interval $[a, b]$. No, because $f$ is not differentiable in the open interval $(a, b)$. No, because $f(a) \neq f(b)$. If Rolle's theorem can be applied, find all values of $c$ in the open interval $(a, b)$ such that $f^{\prime}(c)=0$. (Enter your answers as a comma-separated list. If Rolle's theorem cannot be applied, enter NA.) $$c=$$