Consider the following function: $$ Y=Z-\frac{b(x)}{g(x)} $$ I want to compute $\frac{\partial Y}{\partial x}$. The document am looking at has it as: $$ \frac{\partial Y}{\partial x}=\frac{g'b-b'g}{g^{2}} $$ I don't think this is quite correct. Should it not be $$ \frac{\partial Y}{\partial x}=-\left(\frac{g'b-b'g}{g^{2}}\right) $$ owing to the presence of the $-$ in front of the ratio?
2026-03-29 17:07:08.1774804028
Quotient rule application with negative in front
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