Because the derivative is a limit, many of the rules of limits apply to the derivative:
This is a powerful way of finding the derivative of a polynomial function. It says:
x ^{n} = nx ^{n-1} |
where n is a real number. For example,
x ^{4} = 4x ^{3} |
If f and g are two differentiable functions, then (fg)' = f'g + g'f . For example,
(3x)( = 3 +3x( x ^{- }) |
If f and g are two differentiable functions, then
= |
For example,