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AI & ML · Optimization

Critical points

196 problems in this skill, each with a solver-verified answer key. Answers are checked the moment you submit — with a hint if you want one and a worked solution afterwards.

What the problems look like

A few statements from this skill. Answers, hints and worked solutions live in the practice session.

  1. Warm-up

    A one-parameter training loss is L(w)=−w2+6w+7L(w) = -w^{2} + 6w + 7. Find the critical point w∗w^{*} where L′(w)=0L'(w) = 0.

  2. Warm-up

    A one-parameter training loss is L(w)=−2w2−w+9L(w) = -2w^{2} - w + 9. Find the critical point w∗w^{*} where L′(w)=0L'(w) = 0.

  3. Warm-up

    A one-parameter training loss is L(w)=4w2+8w+8L(w) = 4w^{2} + 8w + 8. Find the critical point w∗w^{*} where L′(w)=0L'(w) = 0.

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