Find the minimum value of
\[4x + \frac{1}{x^4}\]for $x > 0.$
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Find the minimum value of
\[4x + \frac{1}{x^4}\]for $x > 0.$
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
5
Find the minimum value of
\[4x + \frac{1}{x^4}\]for $x > 0.$
train