\"\"

\

The function is \"\"\"\".

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The function \"\" continuous over \"\".

\

Substitute \"\" in \"\".

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\"\"

\

Substitute \"\" in \"\".

\

\"\"

\

Therefore \"\".

\

Hence function \"\" satisfy the Rolle\"\"s theorem.

\

\"\"

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There exist at least one \"\" value in the interval \"\" ,such that \"\".

\

\"\".

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Apply derivative with respect to \"\".

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\"\"

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Equate it to zero.

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\"\"

\

If \"\" then \"\".

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If \"\" then \"\".

\

If \"\" then \"\".

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\"\" is not in the interval \"\".

\

Hence \"\" and \"\".

\

\"\"

\

The function \"\" satisfy the Rolle\"\"s theorem.

\

The value of \"\".