Question:
If \( \frac{d}{dx}f(x) = 4x^3 - \frac{3}{x^4} \) and \( f(2) = 0 \), then \( f(x) \) is:
(a) \( x^4 + \frac{1}{x^3} - \frac{129}{8} \)
(b) \( x^3 + \frac{1}{x^4} + \frac{129}{8} \)
(c) \( x^4 + \frac{1}{x^3} + \frac{129}{8} \)
(d) \( x^3 + \frac{1}{x^4} - \frac{129}{8} \)