In calculus, the quotient rule is a method of finding the derivative of a function that is the quotient of two other functions for which derivatives exist.
If the function one wishes to differentiate, can be written as
and, then the rule states that the derivative of is
More precisely, if all x in some open set containing the number a satisfy, and and both exist, then exists as well and
And this can be extended to calculate the second derivative as well (you can prove this by taking the derivative of twice). The result of this is:
The quotient rule formula can be derived from the product rule and chain rule.
Read more about Quotient Rule: Examples
Famous quotes containing the word rule:
“In the animal kingdom, the rule is, eat or be eaten; in the human kingdom, define or be defined.”
—Thomas Szasz (b. 1920)