(New page: = Table of Derivatives = {| |- ! style="background: rgb(228, 188, 126) none repeat scroll 0% 0%; -moz-background-clip: -moz-initial; -moz-background-origin: -moz-initial; -moz-backgroun...) |
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= Table of Derivatives = | = Table of Derivatives = | ||
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| − | ! style="background: rgb(228, 188, 126) none repeat scroll 0% 0%; -moz-background-clip: -moz-initial; -moz-background-origin: -moz-initial; -moz-background-inline-policy: -moz-initial; font-size: 110%; | + | ! colspan="2" style="background-color: rgb(228, 188, 126); background-image: none; background-repeat: repeat; background-attachment: scroll; background-position: 0% 0%; -moz-background-size: auto auto; -moz-background-clip: -moz-initial; -moz-background-origin: -moz-initial; -moz-background-inline-policy: -moz-initial; font-size: 110%;" | Laplace Transform Pairs and Properties |
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| − | ! style="background: rgb(238, 238, 238) none repeat scroll 0% 0%; -moz-background-clip: -moz-initial; -moz-background-origin: -moz-initial; -moz-background-inline-policy: -moz-initial; font-size: 110%; | + | ! colspan="2" style="background-color: rgb(238, 238, 238); background-image: none; background-repeat: repeat; background-attachment: scroll; background-position: 0% 0%; -moz-background-size: auto auto; -moz-background-clip: -moz-initial; -moz-background-origin: -moz-initial; -moz-background-inline-policy: -moz-initial; font-size: 110%;" | General Rules |
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| Derivative of a constant | | Derivative of a constant | ||
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| put new rule here | | put new rule here | ||
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| − | ! style="background: rgb(238, 238, 238) none repeat scroll 0% 0%; -moz-background-clip: -moz-initial; -moz-background-origin: -moz-initial; -moz-background-inline-policy: -moz-initial; font-size: 110%; | + | ! colspan="3" style="background-color: rgb(238, 238, 238); background-image: none; background-repeat: repeat; background-attachment: scroll; background-position: 0% 0%; -moz-background-size: auto auto; -moz-background-clip: -moz-initial; -moz-background-origin: -moz-initial; -moz-background-inline-policy: -moz-initial; font-size: 110%;" |Derivatives of trigonometric functions |
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| sine | | sine | ||
| − | | < | + | | <span class="texhtml">sin''u''</span> |
| − | | <math>\cos u \frac{du}{dx}</math> | + | | align="left" | <math>\cos u \frac{du}{dx}</math> |
|- | |- | ||
| please continue | | please continue | ||
| − | | write a function here | + | | write a function here |
| write its derivative here | | write its derivative here | ||
|} | |} | ||
| − | + | <br> | |
{| cellspacing="1" cellpadding="1" border="0" | {| cellspacing="1" cellpadding="1" border="0" | ||
| − | |+ Derivative of trigonometric functions | + | |+ Derivative of trigonometric functions |
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| − | ! scope="col" | Name | + | ! scope="col" | Name |
| − | + | ! scope="col" | Function | |
! scope="col" | Derivative | ! scope="col" | Derivative | ||
|- | |- | ||
| sine | | sine | ||
| − | | < | + | | <span class="texhtml">sin''u''</span> |
| <math>\cos u \frac{du}{dx}</math> | | <math>\cos u \frac{du}{dx}</math> | ||
|- | |- | ||
| please continue | | please continue | ||
| − | | write a function here | + | | write a function here |
| write its derivative here | | write its derivative here | ||
|} | |} | ||
{| cellspacing="1" cellpadding="1" border="0" | {| cellspacing="1" cellpadding="1" border="0" | ||
| − | |+ Derivative of exponentiel and logarithm functions | + | |+ Derivative of exponentiel and logarithm functions |
|- | |- | ||
| − | ! scope="col" | Name | + | ! scope="col" | Name |
| − | + | ! scope="col" | Function | |
! scope="col" | Derivative | ! scope="col" | Derivative | ||
|- | |- | ||
| exponential | | exponential | ||
| − | | < | + | | <span class="texhtml">''e''<sup>''u''</sup></span> |
| <math>e^u \frac{du}{dx}</math> | | <math>e^u \frac{du}{dx}</math> | ||
|- | |- | ||
| please continue | | please continue | ||
| − | | write a function here | + | | write a function here |
| write its derivative here | | write its derivative here | ||
|} | |} | ||
Revision as of 07:05, 26 October 2010
Table of Derivatives
| Laplace Transform Pairs and Properties | ||
|---|---|---|
| General Rules | ||
| Derivative of a constant | $ \frac{d}{dx}\left( c \right) = 0, \ \text{ for any constant }c $ | |
| $ \frac{d}{dx}\left( c x \right) = c, \ \text{ for any constant }c $ | ||
| Linearity | $ \frac{d}{dx}\left( c_1 u_1+c_2 u_2 \right) = c_1 \frac{d}{dx}\left( u_1 \right)+c_2 \frac{d}{dx}\left( u_2 \right), \ \text{ for any constants }c_1, c_2 $ | |
| please continue | put new rule here | |
| Derivatives of trigonometric functions | ||
| sine | sinu | $ \cos u \frac{du}{dx} $ |
| please continue | write a function here | write its derivative here |
| Name | Function | Derivative |
|---|---|---|
| sine | sinu | $ \cos u \frac{du}{dx} $ |
| please continue | write a function here | write its derivative here |
| Name | Function | Derivative |
|---|---|---|
| exponential | eu | $ e^u \frac{du}{dx} $ |
| please continue | write a function here | write its derivative here |
