1) d/dx [f(x) + g(x)] = f'(x) + g'(x)
Explanation: The derivative of a sum of two functions is equal to the sum of the derivatives of those two functions.
2) d/dx [f(x) – g(x)] = f'(x) – g'(x)
Explanation: The derivative of a difference of two functions is equal to the difference of the derivatives of those two functions.
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