Number of Solutions Using Monotonicity
If $$f(x)$$ is strictly increasing on an interval, then:
$$f(x)=k$$
has at most one solution on that interval.
Usage
- Used to determine the number of solutions of equations without explicitly solving them.
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CAT Formulas
Applications of Derivatives
Number of Solutions Using Monotonicity
Number of Solutions Using Monotonicity
If $$f(x)$$ is strictly increasing on an interval, then:
$$f(x)=k$$
has at most one solution on that interval.
Usage
- Used to determine the number of solutions of equations without explicitly solving them.
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