The quotient rule states that if we have a function $f(x) = \frac{g(x)}{h(x)}$, then the derivative of $f(x)$ is given by:
$$f'(x) = \frac{g'(x)h(x) - g(x)h'(x)}{[h(x)]^2}$$
In our case, we have $g(x) = x^2 + c^2$ and $h(x) = x^2 - c^2$. Now, we need to find the
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