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What textbook would you recommend that covers higher order derivatives of composite functions, inverse functions?

I looked through Apostol, but he was too brief for me. I'm looking for an accessible text with lots of examples.

Thanks in advance!

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I can't comment yet, so I might as well answer this question. I have used Sean Dineen's "Functions of Two Variables". It's sort of like a primer with bite-sized chapters that don't get derailed into tangential topics and irrelevant (only marginally useful) exercises. I have read and done the exercises in the first $15$ chapters and was unable to solve maybe one or two problems meaning the exercises are there only to reinforce previously studied material and prepare you for what's to come. In a way, it's almost like a tutorial, but a rigorous one. It's an extremely efficient book and a very fast read. I loved it.

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  • $\begingroup$ Don't worry, you'll get your wings soon enough! Book looks great, will start working through it asap. $\endgroup$ Commented May 30, 2018 at 14:13

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