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Darboux's Theorem for Derivatives
If $$f$$ is differentiable on an interval and:
$$f'(a)<k<f'(b)$$
then there exists some $$c\in(a,b)$$ such that:
$$f'(c)=k$$
Usage
- Used in advanced problems involving the intermediate values of derivatives.
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Darboux's Theorem for Derivatives
If $$f$$ is differentiable on an interval and:
$$f'(a)<k<f'(b)$$
then there exists some $$c\in(a,b)$$ such that:
$$f'(c)=k$$
Usage
- Used in advanced problems involving the intermediate values of derivatives.
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