Sums and Differences:1) d/dx [f(x) + g(x)] = ___________________2) d/dx [f(x) – g(x)] = ___________________
1) d/dx [f(x) + g(x)] = f'(x) + g'(x)
To find the derivative of the sum of two functions f(x) and g(x), you simply take the derivative of each individual function and then add them together
1) d/dx [f(x) + g(x)] = f'(x) + g'(x)
To find the derivative of the sum of two functions f(x) and g(x), you simply take the derivative of each individual function and then add them together. The notation d/dx represents the derivative with respect to x.
2) d/dx [f(x) – g(x)] = f'(x) – g'(x)
Similarly, to find the derivative of the difference of two functions f(x) and g(x), you take the derivative of each individual function and then subtract them.
So, to summarize, when finding the derivative of the sum of two functions, add their individual derivatives, and when finding the derivative of the difference of two functions, subtract their individual derivatives.
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