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:
“Much of our American progress has been the product of the individual who had an idea; pursued it; fashioned it; tenaciously clung to it against all odds; and then produced it, sold it, and profited from it.”
—Hubert H. Humphrey (1911–1978)
“Men conceive themselves as morally superior to those with whom they differ in opinion. A Socialist who thinks that the opinions of Mr. Gladstone on Socialism are unsound and his own sound, is within his rights; but a Socialist who thinks that his opinions are virtuous and Mr. Gladstone’s vicious, violates the first rule of morals and manners in a Democratic country; namely, that you must not treat your political opponent as a moral delinquent.”
—George Bernard Shaw (1856–1950)