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:
“A gentleman opposed to their enfranchisement once said to me, “Women have never produced anything of any value to the world.” I told him the chief product of the women had been the men, and left it to him to decide whether the product was of any value.”
—Anna Howard Shaw (1847–1919)
“The earliest instinct of the child, and the ripest experience of age, unite in affirming simplicity to be the truest and profoundest part for man. Likewise this simplicity is so universal and all-containing as a rule for human life, that the subtlest bad man, and the purest good man, as well as the profoundest wise man, do all alike present it on that side which they socially turn to the inquisitive and unscrupulous world.”
—Herman Melville (1819–1891)