Difference between revisions of "Derivative"
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The following are commonly recognized notations for expressing the derivative of a function. | The following are commonly recognized notations for expressing the derivative of a function. | ||
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| colspan="2" | '''Euler's notation''' | | colspan="2" | '''Euler's notation''' | ||
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| Second derivative || <math>\ddot{x}</math> | | Second derivative || <math>\ddot{x}</math> | ||
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== See also == | == See also == | ||
* [[Calculus]] | * [[Calculus]] | ||
* [[Integral]] | * [[Integral]] | ||
Revision as of 19:16, 30 July 2006
The derivative of a function is defined as the instantaneous rate of change of the function with respect to one of the variables.
Notation
The following are commonly recognized notations for expressing the derivative of a function.
| Euler's notation | |
| First derivative |  or 
|
| Second derivative |  or 
|
| Third derivative |  or 
|
 th derivative |
 or 
|
| Lagrange's notation | |
| First derivative | 
|
| Second derivative | 
|
| Third derivative | 
|
| th derivative |
|
| Leibniz's notation | |
| First derivative | 
|
| Second derivative | 
|
| th derivative |
|
| Newton's notation | |
| First derivative | 
|
| Second derivative | 
|
