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 applying the sum rule of differentiation, we can find the derivative of the sum of two functions f(x) and g(x) with respect to x as follows:
d/dx [f(x) + g(x)] = d/dx [f(x)] + d/dx [g(x)]
Therefore, the derivative of f(x) + g(x) with respect to x is equal to the sum of the derivatives of f(x) and g(x).
2) Similarly, by using the difference rule of differentiation, we can find the derivative of the difference of two functions f(x) and g(x) with respect to x as follows:
d/dx [f(x) – g(x)] = d/dx [f(x)] – d/dx [g(x)]
Therefore, the derivative of f(x) – g(x) with respect to x is equal to the difference of the derivatives of f(x) and g(x).
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