If f(x) is decreasing, then f'(x) is?
If the function f(x) is decreasing, it means that as x increases, the corresponding values of f(x) decrease
If the function f(x) is decreasing, it means that as x increases, the corresponding values of f(x) decrease. In other words, the function is moving downwards.
The derivative, denoted as f'(x), represents the rate of change of the function at any given point. If f(x) is decreasing, it implies that the slope (rate of change) of the function is negative. Therefore, f'(x) must be negative.
In conclusion, if f(x) is a decreasing function, then f'(x) must be negative.
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