Root Uniqueness Criterion
If $$f(x)$$ is continuous on an interval and strictly monotonic there, then the equation:
$$f(x)=0$$
has at most one root in that interval.
Usage
- Used to prove uniqueness of solutions of equations.
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CAT Formulas
Applications of Derivatives
Root Uniqueness Criterion
Root Uniqueness Criterion
If $$f(x)$$ is continuous on an interval and strictly monotonic there, then the equation:
$$f(x)=0$$
has at most one root in that interval.
Usage
- Used to prove uniqueness of solutions of equations.
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