Darboux Property of Derivatives
If $$f$$ is differentiable on an interval, then $$f'(x)$$ has the intermediate value property.
Usage
- A derivative cannot jump directly from one value to another without taking all intermediate values.
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Applications of Derivatives
Darboux Property of Derivatives
Darboux Property of Derivatives
If $$f$$ is differentiable on an interval, then $$f'(x)$$ has the intermediate value property.
Usage
- A derivative cannot jump directly from one value to another without taking all intermediate values.
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