## d/dx f(x) – g(x)

### To find the derivative of the difference of two functions, which is represented by d/dx f(x) – g(x), we can use the rules of differentiation

To find the derivative of the difference of two functions, which is represented by d/dx f(x) – g(x), we can use the rules of differentiation. Let’s go step by step:

1. Start by finding the derivative of the first function, f(x), with respect to x. This is denoted as df(x)/dx.

2. Next, find the derivative of the second function, g(x), with respect to x. This is denoted as dg(x)/dx.

3. Finally, subtract the two derivatives obtained in steps 1 and 2. Mathematically, you would write it as df(x)/dx – dg(x)/dx.

So, the derivative of f(x) – g(x) with respect to x is df(x)/dx – dg(x)/dx. This represents the rate of change of the difference between the two functions with respect to x.

Note: Make sure that both f(x) and g(x) are functions that are differentiable with respect to x for this differentiation process to apply.

If you provide the specific functions f(x) and g(x), I can help you find the derivative using this method.

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