In calculus, the product rule is a formula used to find the derivatives of products of two or more functions. It may be stated thus:
or in the Leibniz notation thus:
- .
In the notation of differentials this can be written as follows:
- .
The derivative of the product of three functions is:
- .
Read more about Product Rule: Discovery By Leibniz, Examples, A Common Error, Proof of The Product Rule, Applications
Famous quotes containing the words product and/or rule:
“The guys who fear becoming fathers don’t understand that fathering is not something perfect men do, but something that perfects the man. The end product of child raising is not the child but the parent.”
—Frank Pittman (20th century)
“The rule for hospitality and Irish “help,” is, to have the same dinner every day throughout the year. At last, Mrs. O’Shaughnessy learns to cook it to a nicety, the host learns to carve it, and the guests are well served.”
—Ralph Waldo Emerson (1803–1882)