The provided image contains mathematical expressions for a function f(x) and its derivative f'(x). Please transcribe these expressions.

Function f(x):

\( f(x) = 3 - 3^x - \frac{x}{3} + \frac{3}{x} - x^3 + \sqrt[3]{x} - \frac{3}{x^3} \)

Derivative f'(x):

\( f'(x) = 0 - 3^x \ln(3) - \frac{1}{3} - \frac{3}{x^2} - 3x^2 + \frac{1}{3} x^{-\frac{2}{3}} - \frac{3}{x^4} \)