First Derivative Test for Decreasing Function
If:
$$f'(x)<0$$
throughout an interval, then $$f(x)$$ is strictly decreasing on that interval.
Usage
- Used to determine decreasing intervals directly from the first derivative.
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First Derivative Test for Decreasing Function
First Derivative Test for Decreasing Function
If:
$$f'(x)<0$$
throughout an interval, then $$f(x)$$ is strictly decreasing on that interval.
Usage
- Used to determine decreasing intervals directly from the first derivative.
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