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:
“...In the past, as now, [Hollywood] was a stamping ground for tastelessness, violence, and hyperbole, but once upon a time it turned out a product which sweetened the flavor of life all over the world.”
—Anita Loos (1888–1981)
“Your favor containing the question, as to whether I consider myself a “new woman” is before me. As a rule I do not consider myself at all. I am, and always have been a progressive woman, and while never directly attacking the conventionalities of society, have always done, or attempted to do those things which I have considered conducive to my health, convenience or emolument ...”
—Belva Lockwood (1830–1917)