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:
“I am a Christian according to my conscience in belief, ... in purpose and wish;Mnot of course by the orthodox standard. But I am content, and have a feeling of trust and safety.
The Machiavellian mind and the merchant mind are at one in their simple faith in the power of segmental division to rule all—in the dichotomy of power and morals and of money and morals.”
—Marshall McLuhan (1911–1980)