Derivative Rules

Could someone help me with this?

I need to write down 4 interesting examples of the following derivative rules:

For example: The constant rule says, in Lebesgue's, apostrophy ', notation, that f(x)=c has derivative f'(x)=0.

And here is the example given to this case: f(x)=32 (in physics, the gravity acceleration on earth surface in ft/sq sec) has derivative f(x)=0

(32 is an example of a constant).

Here is what i need 4 examples for:

1. Derivative of a constant: the derivative of a constant is zero.
2. Power Rule: The derivative of a power X^A with a fixed exponent A, with respect to the base X, is the power A multiplied by the same function except for the exponent lowered by one unit: AX^A-1