A quotient is the result of dividing two terms or expressions. e.g. is a quotient.
To differentiate a quotient the best way is often to use the Quotient Rule.
The Quotient Rule Formula
This states:

The Quotient Rule looks complex, but with practice, which is essential, it should become more straightforward.
Example
Alternative Quotient Rule Formula
The Quotient Rule can also be written in notation:

Example
Note: The derivative of the quotient is undefined for values of x that make v zero.