I'm looking for a book with a theorem about term by term differentiation for multivariable functions series.
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For a partial derivative with respect to a particular variable, a single-variable function theorem would seem to apply. Are you asking for a book that makes that observation, or do you mean something different (like the Jacobian matrix of each term)? – Mark S. Apr 08 '22 at 13:40
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1I want to find books on the observation part like you said "For a partial derivative with respect to a particular variable, a single-variable function theorem would seem to apply." – LaLan Yves Apr 09 '22 at 00:11