Let $u = 2x^4$. Then, the derivative of $u$ with respect to $x$ is:
$$\frac{du}{dx} = 8x^3$$
Now, we need to find $dx$ in terms of $du$. We can do this by dividing both sides of the equation by $8x^3$:
$$dx = \frac{1}{8x^3} du$$
Now, we can substitute $u$ and
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