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Monotonicity Criterion
If $$f'(x)>0$$ for every $$x$$ in an interval, then $$f(x)$$ is strictly increasing there.
If $$f'(x)<0$$ for every $$x$$ in an interval, then $$f(x)$$ is strictly decreasing there.
Usage
- Used to determine the monotonic behaviour of a function.
