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## Main Question or Discussion Point

When differentiating the following equation, [tex]y=\frac{d}{dx}\frac{e^x}{x}[/tex], why is it wrong to rearrange the equation to [tex]y=\frac{d}{dx}\frac{1}{x}e^x[/tex] and apply the product rule? Doing so gives me a different result than using the chain rule in conjunction with the quotient rule.

Sorry about the latex formatting, I'm still trying to get the hang of it.

Sorry about the latex formatting, I'm still trying to get the hang of it.