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:
“Mans main task in life is to give birth to himself, to become what he potentially is. The most important product of his effort is his own personality.”
—Erich Fromm (19001980)
“The rule for hospitality and Irish help, is, to have the same dinner every day throughout the year. At last, Mrs. OShaughnessy learns to cook it to a nicety, the host learns to carve it, and the guests are well served.”
—Ralph Waldo Emerson (18031882)