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홈 / 라이브러리 / CSAT (Suneung) essentials: original practice / AI 플래시카드

For f(x) = x^3 - 3x, at which x-values is the tangent line horizontal?

덱 'CSAT (Suneung) essentials: original practice'의 플래시카드.

정답

At x = -1 and x = 1.

해설

The derivative is f'(x) = 3x^2 - 3. Setting it to zero gives x^2 = 1, so the slope is zero at x = -1 and x = 1.

AI 생성 콘텐츠 · 감수: Ada