Difference between revisions of "Quotient rule"
Jump to navigation
Jump to search
(short edit - but this is how i learned it) |
|||
| Line 4: | Line 4: | ||
<math>\frac{d}{dx} \left(\frac{u}{v}\right) = \frac{v \left(\frac{du}{dx}\right) - u \left(\frac{dv}{dx}\right)}{v^2}</math> | <math>\frac{d}{dx} \left(\frac{u}{v}\right) = \frac{v \left(\frac{du}{dx}\right) - u \left(\frac{dv}{dx}\right)}{v^2}</math> | ||
| + | |||
| + | It is easily remembered by the rhyme "Low 'D' High minus High 'D' Low, draw the line, and square below" (the denominator times the derivative of the numerator minus the numerator times the derivative of the denominator all over the denominator squared). | ||
[[Category:Calculus]] | [[Category:Calculus]] | ||
[[Category:Mathematics]] | [[Category:Mathematics]] | ||
Revision as of 03:00, April 19, 2009
| <math>\frac{d}{dx} \sin x=?\,</math> | This article/section deals with mathematical concepts appropriate for late high school or early college. |
The Quotient Rule is a rule in calculus pertaining to the derivative of a variable or function divided by another. It can be written as follows:
<math>\frac{d}{dx} \left(\frac{u}{v}\right) = \frac{v \left(\frac{du}{dx}\right) - u \left(\frac{dv}{dx}\right)}{v^2}</math>
It is easily remembered by the rhyme "Low 'D' High minus High 'D' Low, draw the line, and square below" (the denominator times the derivative of the numerator minus the numerator times the derivative of the denominator all over the denominator squared).