...not as long as Mathstud's. So feel free to create a new one (Tongueout)

Some (if not all) are easy, so @ the masters (not http://www.mathhelpforum.com/math-he...s/masters.html), pardon me for insulting your abilities and please lend normal people 10 more minutes than you need for solving them (Rofl)

Of course, :D

(you may be able to use the gradient definition). No power series is needed but approximations could be needed in some limits.

I think solutions can all be less than 5 or 6 lines...

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Solution #1 (Chris L T521) & book's answer

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Solution #1 (Mathstud)

Alternative

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Solution #1 (Mathstud)

Alternative

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Solution #1 (Mathstud)

Alternative

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Solution #1 (Mathstud)

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Solution #1 (Mathstud)

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Have fun (Nod)