Difference between revisions of "Quotient rule"

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<math>\frac{d}{dx} \frac{u}{v} = \frac{v \frac{du}{dx} - u \frac{dv}{dx}}{v<sup>2</sup>}</math>
 
<math>\frac{d}{dx} \frac{u}{v} = \frac{v \frac{du}{dx} - u \frac{dv}{dx}}{v<sup>2</sup>}</math>
  
−
d(u/v)/dx = [v(du/dx) - u(dv/dx)]/v<sup>2</sup>
+
d(u/v)/dx = [v(du/dx) - u(dv/dx)]/v^2</sup>

Revision as of 03:43, October 1, 2007

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} \frac{u}{v} = \frac{v \frac{du}{dx} - u \frac{dv}{dx}}{v2}</math>

d(u/v)/dx = [v(du/dx) - u(dv/dx)]/v^2