Convexity Criterion

Rarely Tested

Convexity Criterion

If:

$$f''(x)\geq0$$

throughout an interval, then $$f(x)$$ is convex on that interval.

If:

$$f''(x)\leq0$$

throughout an interval, then $$f(x)$$ is concave on that interval.

Usage

- Used in advanced optimization and graph-analysis problems.

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