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I am searching for a book on multi-variable calculus that explains multi-variable product, multi-variable integration by parts, etc.

As an example, here's a simple problem that I would like to be able to do after reading this book.

Let u(x) = || x - y ||^2 + 3x^t z. Find the derivative of u with respect to x.

Can anyone recommend a book to me?

Thank you for your help.

2 Answers 2