(Quiz week 7, sep 29th) Consider $f''$ and $g$ defined as follows:

$f''(x) = x^{-(1/3)} $

$g = 4x^5 + 2x^3 + 5 + 3x$

Then, considering derivation, which option bellow is correct:

1. $f'''(x) = -(1/3)x^{-(3/4)}$ and $g'(x) = 20x^4 + 6x - 3$
2. $f'''(x) = -(1/3)x^{-(3/2)}$ and $g'(x) = 20x^4 + 6x^2 - 3$
3. $f'(x) = (3/2)x^{2/3}+6$ and $g'(x) = 4x^4 + 2x^2 - 3$
4. $f'(x) = (3/2)x^{2/3}+3$ and $g'(x) = 20x^4 + 6x^2 - x$
5. None of the above

Original idea by: Fábio Assunção.