If f(x) is decreasing, then f'(x) is?
If a function f(x) is decreasing, it means that as x increases, the values of f(x) are getting smaller
If a function f(x) is decreasing, it means that as x increases, the values of f(x) are getting smaller. This information can tell us about the behavior of the derivative f'(x).
The derivative of a function f'(x) provides information about the rate of change of f(x) at each point. If f(x) is decreasing, it means that the slope of the function is negative.
Therefore, if f(x) is decreasing, f'(x) will be negative, indicating a decreasing slope. In other words, the derivative f'(x) will be less than 0 for all x in the domain of the function.
To summarize:
– If f(x) is decreasing, then f'(x) < 0 for all x in the domain.
More Answers:
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