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'...")
 
m (added to Calculus category)
(One intermediate revision by the same user not shown)
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: <cmath>\frac{f'(x)g(x)-g'(x)f(x)}{(g'(x)^2)}</cmath>.
+
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>.
 +
 +
[[Category: Calculus]]

Revision as of 20:36, 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 $\frac{f(x)}{g(x)}$ is \[\frac{f'(x)g(x)-g'(x)f(x)}{(g(x))^2}.\]

This result can be derived from using the Product Rule on the functions $f(x)$ and $\frac{1}{g(x)}$.