Difference between revisions of "Quotient Rule"
(Created page with "The Quotient Rule is a rule for taking the derivative of the quotient of two functions. It states that the derivative of <math>\frac{f(x)}{g(x)}</math> is: <cmath>\frac{f'...") |
(corrected the denominator from square of the derivative to square of g(x) itself) |
||
| Line 1: | Line 1: | ||
| − | The Quotient Rule is a rule for taking the [[derivative]] of the quotient of two functions. It states that the derivative of <math>\frac{f(x)}{g(x)}</math> is | + | The Quotient Rule is a rule for taking the [[derivative]] of the quotient of two functions. It states that the derivative of <math>\frac{f(x)}{g(x)}</math> is <cmath>\frac{f'(x)g(x)-g'(x)f(x)}{(g(x))^2}.</cmath> |
This result can be derived from using the [[Product Rule]] on the functions <math>f(x)</math> and <math>\frac{1}{g(x)}</math>. | This result can be derived from using the [[Product Rule]] on the functions <math>f(x)</math> and <math>\frac{1}{g(x)}</math>. | ||
Revision as of 21:33, 24 April 2022
The Quotient Rule is a rule for taking the derivative of the quotient of two functions. It states that the derivative of 
is ![\[\frac{f'(x)g(x)-g'(x)f(x)}{(g(x))^2}.\]](http://latex.artofproblemsolving.com/9/1/5/91551233e9e41997f47684f74b1c7eb17780b59a.png)
This result can be derived from using the Product Rule on the functions 
and 
.
