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 | write a rule here |
| Derivatives of trigonometric functions | ||
|---|---|---|
| sine | sin u | $ \cos u \frac{du}{dx} $ |
| add function here | derivative here | |
| Derivatives of exponential and logarithm functions | ||
| exponential | eu | $ e^u \frac{du}{dx} $ |
| add function here | derivative here | |
| Derivatives of hyperbolic functions | ||
| exponential | eu | $ e^u \frac{du}{dx} $ |
| add function here | derivative here | |
