Difference Rule
Function – f – gDerivative – f’ − g’
The difference rule is a formula used in calculus to find the derivative of the difference between two functions. It states that if f(x) and g(x) are differentiable functions, then the derivative of their difference is given by:
(f(x) – g(x))’ = f'(x) – g'(x)
In other words, you take the derivative of each function separately and then subtract them. This is useful for situations where you need to find the rate of change of a quantity relative to another quantity. For example, if f(x) represents the distance traveled by a car and g(x) represents the distance traveled by a pedestrian, then (f(x) – g(x))’ represents the difference in their speeds at a particular time.
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