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1. Recall the identity (fg)' = f'g + fg', also known as the Leibniz rule. (a) Find similar identities for the second and third derivatives

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1. Recall the identity (fg)' = f'g + fg', also known as the Leibniz rule. (a) Find similar identities for the second and third derivatives of a prod- uct of differentiable functions, that is, (fg)", (fg)". (b) Guess what a similar formula would look for higher order derivatives

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