Using the linearity property of differentiation, we can write
d/dx[f(x)-g(x)]= d/dx[f(x)] – d/dx[g(x)]
Here, we are simply subtracting the derivative of g(x) from the derivative of f(x).
Therefore, the answer is:
d/dx[f(x)-g(x)] = f'(x) – g'(x)
where f'(x) is the derivative of f(x) and g'(x) is the derivative of g(x).
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