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Determine Whether Rolle's Theorem Can Be Applied To f(x)=x213x on the closed f ( x ) = \frac { x ^ { 2 } - 13 } { x } \text { on the closed }

question 15

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Determine whether Rolle's Theorem can be applied to f(x) =x213x on the closed f ( x ) = \frac { x ^ { 2 } - 13 } { x } \text { on the closed } interval [13,13][ - 13,13 ] . If Rolle's Theorem can be applied, find all values of cc in the open interval (13,13) ( - 13,13 ) such that ft(c) =0f ^ {t } ( c ) = 0

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