\"\"

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\"\" is an increasing such that \"\" and \"\".

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Find \"\".

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Theorem 7: 

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If \"\" is a one to one differentiable function with inverse function \"\" and \"\" then the inverse function is differentiable at \"\" and \"\".

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Find \"\".

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From the inverse function definition, if \"\" then \"\".

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Therefore, if \"\" then \"\".

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\"\"

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Substitute \"\" in above expression.

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\"\".

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\"\"

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\"\".