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Number of Roots from the Derivative
If $$f'(x)$$ has no zero in an interval and exists throughout that interval, then $$f(x)$$ is strictly monotonic there.
Usage
- Used to establish that an equation can have at most one root in an interval.
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Number of Roots from the Derivative
If $$f'(x)$$ has no zero in an interval and exists throughout that interval, then $$f(x)$$ is strictly monotonic there.
Usage
- Used to establish that an equation can have at most one root in an interval.
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