d/dx [f(x) +/- g(x)]=
To find the derivative of the sum or difference of two functions, f(x) and g(x), with respect to x, you can apply the derivative rules
To find the derivative of the sum or difference of two functions, f(x) and g(x), with respect to x, you can apply the derivative rules. Let’s derive the formula for d/dx [f(x) +/- g(x)].
Using the notation f'(x) to represent the derivative of f(x) with respect to x and g'(x) to represent the derivative of g(x) with respect to x, we have:
d/dx [f(x) +/- g(x)] = d/dx [f(x)] +/- d/dx [g(x)]
Now, applying the derivative rules, we differentiate each function separately and add or subtract the derivative results:
d/dx [f(x) +/- g(x)] = f'(x) +/- g'(x)
So, the derivative of the sum or difference of two functions is equal to the sum or difference of their individual derivatives.
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