$\"\"$

The function $\"\"$ .

Differentiate on each side with respect to $\"\"$ .

Apply quotient rule in derivatives.

$\"\"$

Case 1: The function is not defined when the denominator is zero.

$\"\"$

Case 2: Logartim of negative value is undefined.

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From the above two cases,

Domain of $\"\"$ is $\"\"$ .

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Domain of $\"\"$ is $\"\"$ .