 Solution

ID: past-exam-of-the-year-1-of-the-computer-science-course-of-the-university-of-oxford/2022/discrete-mathematics-continuous-mathematics-and-probability/continuous-mathematics/4/a/i/solution

f is convex on R ⟺ f^{''} (x) \geq 0 for every x \in R .

The non-strict inequality is necessary and sufficient; the stronger condition

f^{''} > 0

is sufficient for strict convexity.

 New to topics? Read the docs here!