Using the quotient rule, we can differentiate a function in the form of f(x)/g(x) as follows:
d/dx [f(x)/g(x)] = [g(x) * d/dx(f(x)) – f(x) * d/dx(g(x))] / [g(x)]^2
Therefore, the derivative of f(x)/g(x) is:
(f'(x) * g(x) – f(x) * g'(x))/[g(x)]^2
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