Derivatives of a function

To find the derivative of a function, we can use these formulae:
1. f(x) = k then f'(x) = 0 where k is a constant
2. f(x) = x then f'(x) = 1.
3. f(x) = a.x^{n} then f'(x) = n.a.x^{n-1}.
4. f(x) = u(x).v(x) then f'(x) = u'(x).v(x) + u(x).v'(x)
5. f(x) = u(x)/v(x) then f'(x) = {u'(x).v(x) - u(x).v'(x)}/{v(x)}^2