Quotient rule for differentiation
This article is about a differentiation rule, i.e., a rule for differentiating a function expressed in terms of other functions whose derivatives are known.
View other differentiation rules
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:
- Product rule for differentiation
- Second derivative rule for parametric descriptions (uses the quotient rule in its proof)
- Quotient rule for second derivative