There are numerous rules for derivatives of certain combinations of functions, including the product, quotient, power, and chain rules. The following lists their common notation:

For a product:

where f' is the derivative of f with respect to x.

For a quotient:

where, again, f' is the derivative of f with respect to x.

For a power:

For a chain:

Or:

where ∂z/∂x is a partial derivative.