Mastering The Sum And Difference Rules Of Differentiation In Mathematics

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 know that the derivative of the sum of two functions is equal to the sum of their derivatives. So, we can write:

d/dx [f(x) + g(x)] = d/dx [f(x)] + d/dx [g(x)]

This means that the derivative of the sum of two functions is equal to the sum of the derivatives of each individual function.

2) Similarly, by applying the difference rule of differentiation, we know that the derivative of the difference of two functions is equal to the difference of their derivatives. So, we can write:

d/dx [f(x) – g(x)] = d/dx [f(x)] – d/dx [g(x)]

This means that the derivative of the difference of two functions is equal to the difference of the derivatives of each individual function.

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