If f(x) is decreasing, then f'(x) is?
If f(x) is a function that is decreasing, it means that as x increases, the corresponding values of f(x) are decreasing
If f(x) is a function that is decreasing, it means that as x increases, the corresponding values of f(x) are decreasing. In other words, the function is “going down” as x increases.
The derivative, denoted as f'(x), represents the rate of change of the function f(x) at any given point. If f(x) is decreasing, it means that the slope of the function is negative (because it is going down). Therefore, f'(x) must also be negative for the function to be decreasing.
In summary, if f(x) is decreasing, then f'(x) will be negative.
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