The derivative of a function gives us the slope of the tangent line at any point. The derivative of the function $y=x^{4}-\frac{1}{2} x^{2}+2$ is calculated as follows:
$$\frac{dy}{dx} = \frac{d}{dx}(x^{4}-\frac{1}{2} x^{2}+2)$$
We can differentiate term by term
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