Decreasing Function from First Derivative
If:
$$f'(x)<0$$
throughout an interval, then $$f(x)$$ is strictly decreasing on that interval.
Usage
- Used to find decreasing intervals from the sign of the first derivative.
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CAT Formulas
Applications of Derivatives
Decreasing Function from First Derivative
Decreasing Function from First Derivative
If:
$$f'(x)<0$$
throughout an interval, then $$f(x)$$ is strictly decreasing on that interval.
Usage
- Used to find decreasing intervals from the sign of the first derivative.
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