We have the function:
$f(x) = \frac{x^2\sqrt[4]{x^3}}{x^3+2}.$
I rewrote it as $f(x) = \frac{x^2{x^{3/4}}}{x^3+2}.$
After a while of differentiating I get the final answer:
$f(x)= \frac{- {\sqrt[4]{\left(\frac{1}{4}\right)^{19}} + \sqrt[4]{5.5^7}}}{(x^3+2)^2}$(The minus isn't behind the four)
But my answer sheet gives a different answer, but they also show a wrong calculation, so I don't know what is the right answer, can you help me with this?