Sums and Differences:1) d/dx [f(x) + g(x)] = ___________________2) d/dx [f(x) – g(x)] = ___________________
To find the derivative of a sum or difference of two functions, we can apply the sum and difference rules of derivatives
To find the derivative of a sum or difference of two functions, we can apply the sum and difference rules of derivatives.
1) d/dx [f(x) + g(x)]:
The derivative of the sum of two functions is equal to the sum of their derivatives. So, we can differentiate f(x) and g(x) separately and then add them together.
d/dx [f(x) + g(x)] = f'(x) + g'(x)
2) d/dx [f(x) – g(x)]:
Similarly, the derivative of the difference of two functions is equal to the difference of their derivatives. We can differentiate f(x) and g(x) separately and then subtract g'(x) from f'(x).
d/dx [f(x) – g(x)] = f'(x) – g'(x)
Therefore, the derivatives of the given sums and differences are:
1) d/dx [f(x) + g(x)] = f'(x) + g'(x)
2) d/dx [f(x) – g(x)] = f'(x) – g'(x)
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