Determine whether Rolle’s Theorem can be applied

Authors:

Ron Larson, Bruce H.edwards

Chapter:

Applications Of Differentiations

Exercise:

3. Review Exercises

Question:9 | ISBN:9780547167022 | Edition: 9

Question

Determine whether Rolle’s Theorem can be applied to $f$ on the closed interval $\left [ a,b \right ]$ . If Rolle’s Theorem can be applied, find all values of $c$ in the open interval $\left ( a,b \right )$ such that $f'(c)=0$ . If Rolle’s Theorem cannot be applied, explain why not.

$f(x)=\frac{x^{2}}{1-x^{2}},\left [ -2,2 \right ]$

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