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) d/dx [f(x) + g(x)] = d/dx[f(x)] + d/dx[g(x)]
Explanation:
The derivative of the sum of two functions is equal to the sum of their derivatives. This is known as the sum rule for differentiation. When we take the derivative of f(x) + g(x), we need to take the derivative of both functions, f(x) and g(x), separately, and then add the results.
2) d/dx [f(x) – g(x)] = d/dx[f(x)] – d/dx[g(x)]
Explanation:
The derivative of the difference of two functions is equal to the difference of their derivatives. This is known as the difference rule for differentiation. When we take the derivative of f(x) – g(x), we need to take the derivative of both functions, f(x) and g(x), separately, and then subtract the results.
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