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 [[functional composition|composite function]]: |
:<math>f(g(x))' = f'(g(x))\times g'(x)</math> | :<math>f(g(x))' = f'(g(x))\times g'(x)</math> | ||
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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: | + | [[category:Calculus]] |
Revision as of 23:19, December 5, 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>