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To find the derivative of the function \( f(x) = \frac{x^{4}-2x^{2}+1}{x^{4}+2} \), we will use the quotient rule. The quotient rule states that if \( f(x) = \frac{g(x)}{h(x)} \), then \( f'(x) = \frac{g'(x)h(x) - g(x)h'(x)}{(h(x))^2} \).
Let \( g(x) = x^{4} -
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