## Constant Function Rule

If y = f(x) = C, then f'(x) = 0

Also, y' = 0 and dy/dx = 0.

### Power Rule

The **power rule** states that if f(x) = x^{n}, then f'(x) = nx^{n - 1}.

Drag the slider to see the graph of the function f(x) = x^{n} and its derivative as *n* changes.

### Constant Multiple Property

If y = f(x) = ku(x), then f'(x) = ku'(x).

Also, y' = ku' and dy/dx = k du/dx.

### Sum and Difference Property

If y = f(x) = u(x) ± v(x), then f'(x) = u'(x) ± v'(x)

Also, y' = u' ± v' and dy/dx = du/dx ± dv/dx.