When a constant is on top of a function

**cammywhite** · March 14th 2009, 09:28 PM

When a constant is the numerator

For example,
$ z = \frac{x}{y+1} $

Can I rewrite it as $z = x(\frac{1}{y+1})$

So that $\frac {\partial z}{\partial y}= 0 + x[- \frac {1}{(y+1)^2}]$

**oswaldo** · March 14th 2009, 09:34 PM

Yes. But you don't need to:
$ \frac {\partial z}{\partial y}= \frac {0(y+1)-1(x)}{(y+1)^2} $

gives the same answer.

-O

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