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Mathematical analysis

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Consider the following calculation of a limit using l'Hôpital's rule:

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Consider the following calculation of a limit using l'Hôpital's rule:

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Consider the following calculation of a limit using l'Hôpital's rule:

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What can be concluded about properties of ?

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What is a derivative of at 1?

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Which of the following functions is continuous at zero but does not have a derivative at zero?

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If is continuous at , it is differentiable at .

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If is differentiable at , it is continuous at .

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Let and be continuous differentiable functions on and let .

Which of the following equals to the derivative of a product of and at , i.e.. ?

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Using the formula derived during the last lecture, calculate the derivative of at point .

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