When a constant is the numerator
For example,
$\displaystyle
z = \frac{x}{y+1}
$
Can I rewrite it as $\displaystyle z = x(\frac{1}{y+1})$
So that $\displaystyle \frac {\partial z}{\partial y}= 0 + x[- \frac {1}{(y+1)^2}]$
When a constant is the numerator
For example,
$\displaystyle
z = \frac{x}{y+1}
$
Can I rewrite it as $\displaystyle z = x(\frac{1}{y+1})$
So that $\displaystyle \frac {\partial z}{\partial y}= 0 + x[- \frac {1}{(y+1)^2}]$