# Quotient rule for differentiation

From Calculus

This article is about adifferentiation rule, i.e., a rule for differentiating a function expressed in terms of other functions whose derivatives are known.

View other differentiation rules

## Statement

Suppose and are functions defined at and around a point and they are both differentiable at (i.e., the derivatives and are defined) and . Then, the quotient is differentiable at , and its derivative is given as follows:

If we consider the general expressions rather than the evaluation at a particular point , we can rewrite the above as:

## Related rules

- Product rule for differentiation
- Second derivative rule for parametric descriptions (uses the quotient rule in its proof)
- Quotient rule for second derivative