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I am stuck at what is otherwise a trivial question that could be done with the quotient rule, but the manner in which it is asked is confusing.

Find the derivative of $f(y)$ with respect to $y$ if $f(y) = \displaystyle\frac{(y-1)}{(y+1)}$.

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    Do they want to you do find the derivative without using the quotient rule? Write the function as $f(y)=(y-1)(y+1)^{-1}$ and use the product and chain rules.2012-06-06
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    It's just asking you to find $f'(y)$. There are no tricks. Just use the quotient rule and you're done.2012-06-06
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    but the derivative is $\mathrm d/\mathrm dx$, not y!! (just joking; I do think that teachers of mathematics ought to avoid always using the same conventions, though, or you can get thrown by irrelevant differences)2012-06-06

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