Sums and Differences:1) d/dx [f(x) + g(x)] = ___________________2) d/dx [f(x) – g(x)] = ___________________
1) f'(x) + g'(x)2) f'(x) – g'(x)
1) By the Sum Rule for differentiation, we know that the derivative of a sum of functions is equal to the sum of their derivatives. Therefore, we have:
d/dx [f(x) + g(x)] = d/dx [f(x)] + d/dx [g(x)]
2) Similarly, the derivative of a difference of functions is also equal to the difference of their derivatives. Therefore, we have:
d/dx [f(x) – g(x)] = d/dx [f(x)] – d/dx [g(x)]
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