정답
If $f'(c) = 0$ and $f''(c) > 0$, $f(c)$ is a local minimum; if $f'(c) = 0$ and $f''(c) < 0$, $f(c)$ is a local maximum.
해설
If $f''(c) = 0$, the test is inconclusive and higher derivatives or sign changes of $f'(x)$ must be examined.
홈 / 라이브러리 / JEE Main Master Class: Calculus, Mechanics, Coordinate Geometry / AI 플래시카드
What is the condition for an extremum (local minimum or maximum) of a function $f(x)$ using second derivatives?
덱 'JEE Main Master Class: Calculus, Mechanics, Coordinate Geometry'의 플래시카드.