Difference between revisions of "Quotient Rule"
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| − | 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>. | ||
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| + | [[Category: Calculus]] | ||
Latest revision as of 01:57, 26 December 2024
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 
.
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