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qid 8271 · math
Question: Statement 1 | Suppose f : [a, b] is a function and suppose f has a local maximum. f'(x) must exist and equal 0? Statement 2 | There exist non-constant continuous maps from R to Q.
- Neither True nor False, False
- Neither True nor False, True
- False, Neither True nor False
- False, True or False
- True, Neither True nor False
- False, False
- Neither True nor False, Neither True nor False
- False, True
- True, True
- True, False
Our answer: F. False, False Source quote machine-checked (exact quote)
How it was answered
Multi-step solver (maze), replayed by code
Current source
Wikipedia, Fermat's theorem (stationary points)
https://en.wikipedia.org/wiki/Fermat%27s_theorem_(stationary_points)
“In calculus and real analysis, the interior extremum theorem states that any local extremum of a real function at which it is differentiable is a stationary point. It is also known as Fermat's theorem, named after the French mathematician Pierre de Fermat.”
Source quote machine-checked (exact quote)
Earlier version (superseded)
https://openstax.org/books/calculus-volume-1/pages/4-3-maxima-and-minima
Source weak (http_get_200_text_and_question_terms)
Earlier version (superseded)
No public source has been found for this card yet (3 places checked internally).
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