Question

Differentiate f and find the domain of f.

Answer 1

Step 1:

The function

Differentiate on each side with respect to .

Apply quotient rule in derivatives.

Step 2:

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

 

Case 2: Logartim of negative value is undefined.

From the above two cases,

Domain of is .

Solution :

Domain of is .