How to Find the Derivative of the Difference Between Two Functions

derivative of the difference between two functions

f'(x) – g'(x)

To find the derivative of the difference between two functions, you can use the rules of differentiation. Let’s say we have two functions: f(x) and g(x).

The difference between these two functions can be written as h(x) = f(x) – g(x). To find the derivative of h(x), you need to find the derivative of each term separately.

Using the rules of differentiation, the derivative of f(x) with respect to x is denoted as f'(x), and the derivative of g(x) with respect to x is denoted as g'(x).

Therefore, the derivative of h(x) = f(x) – g(x) is:

h'(x) = f'(x) – g'(x)

So, to find the derivative of the difference between two functions, simply subtract the derivatives of the individual functions.

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