What is the difference between local maximum and local minimum?
At a local maximum the function stops rising and turns down (f''<0); at a local minimum it stops falling and turns up (f''>0).
At a local maximum the function stops rising and turns down (f''<0); at a local minimum it stops falling and turns up (f''>0). A reliable way to keep them apart is to focus on what each one is defined by, not just the similar-sounding words.
Key point
local maximum vs local minimum
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