Freshman product rule

From Calculus
Revision as of 15:44, 15 October 2011 by Vipul (talk | contribs)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to: navigation, search
WRONG WRONG WRONG
This article describes a wrong rule, that one may be tempted to believe is true.

Statement

This is a wrong rule, and it states that the derivative of the product is the product of the derivatives, i.e., that:

\frac{d}{dx}[f(x)g(x)] = f'(x)g'(x)

There is a corresponding correct rule that enables the differentiation of products. This is the product rule for differentiation.