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The quotient rule says that the derivative of the quotient  of two differentiable functions  and  exists at all values of  as long as
 and is given by the formula
\begin{equation*} \frac{d}{dx}\ \left[\frac{f(x)}{g(x)}\ \right] = \frac{g(x)f'(x) - f(x)g'(x)}{\lbrack g(x) \rbrack ^2} \end{equation*}
The Quotient Rule and the other differentiation formulas allow us to compute the derivative of any rational function.
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"quotient rule" is owned by Luci.
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| Keywords: |
calculus, derivative, fractions, derivatives |
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Cross-references: rational function, differentiation, formula, differentiable functions, quotient, derivative
There are 10 references to this entry.
This is version 10 of quotient rule, born on 2002-05-17, modified 2002-05-18.
Object id is 2913, canonical name is QuotientRule.
Accessed 10392 times total.
Classification:
| AMS MSC: | 26A06 (Real functions :: Functions of one variable :: One-variable calculus) |
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Pending Errata and Addenda
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