Practice question · True or false
A point where is always a maximum or a minimum.
Hints
- Consider at zero.
- The derivative can touch zero without changing sign.
Show the answer
False
Why
False. has yet is increasing on both sides, an inflection, neither max nor min. The first derivative locates candidates; deciding which requires the sign change around the point, or the second derivative, and leaves even that test inconclusive.
Practise Applications of Derivatives
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