Difference between revisions of "Chain rule"

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The '''chain rule''' in [[calculus]] is a formula for determining the [[derivative]] of a composite function:
 
The '''chain rule''' in [[calculus]] is a formula for determining the [[derivative]] of a composite function:
  
:<math>f(g(x))' = f'(x)\times g'(x)</math>
+
:<math>f(g(x))' = f'(g(x))\times g'(x)</math>
  
 
The chain rule can also be expressed as:
 
The chain rule can also be expressed as:
 
:<math>\frac {dy}{dx} = \frac {dy} {du} \times \frac {du}{dx}.</math>
 
:<math>\frac {dy}{dx} = \frac {dy} {du} \times \frac {du}{dx}.</math>
 
[[category:mathematics]]
 
[[category:mathematics]]

Revision as of 00:34, June 21, 2008

The chain rule in calculus is a formula for determining the derivative of a composite function:

<math>f(g(x))' = f'(g(x))\times g'(x)</math>

The chain rule can also be expressed as:

<math>\frac {dy}{dx} = \frac {dy} {du} \times \frac {du}{dx}.</math>