Is the point where the first derivative and the second derivative are both zero an extreme point That could be the extreme point, right?

Is the point where the first derivative and the second derivative are both zero an extreme point That could be the extreme point, right?

It's not necessarily an extreme point
For example: y = x ^ 3, y derivative = 3x ^ 2 = 0, then: x = 0; the second derivative of y = 6x = 0, then: x = 0
But x = 0 is not the extreme point

Elden Ring Premiere

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