# Maximum

This crossword clue is for the definition: Maximum.
it’s A 7 letters crossword puzzle definition.
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Last seen on: LA Times Crossword 2 Jun 19, Sunday

### Random information on the term “Maximum”:

In calculus, a derivative test uses the derivatives of a function to locate the critical points of a function and determine whether each point is a local maximum, a local minimum, or a saddle point. Derivative tests can also give information about the concavity of a function.

The usefulness of derivatives to find extrema is proved mathematically by Fermat’s theorem of stationary points.

The first derivative test examines a function’s monotonic properties (where the function is increasing or decreasing) focusing on a particular point in its domain. If the function “switches” from increasing to decreasing at the point, then the function will achieve a highest value at that point. Similarly, if the function “switches” from decreasing to increasing at the point, then it will achieve a least value at that point. If the function fails to “switch”, and remains increasing or remains decreasing, then no highest or least value is achieved.

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One can examine a function’s monotonicity without calculus. However, calculus is usually helpful because there are sufficient conditions that guarantee the monotonicity properties above, and these conditions apply to the vast majority of functions one would encounter.

### Random information on the term “NTH”:

A number of trigraphs are found in the Latin script, most of these used especially in Irish orthography.

⟨aai⟩ is used in Dutch to write the sound /aːi̯/.

⟨abh⟩ is used in Irish to write the sound /əu̯/, or in Donegal, /oː/, between broad consonants.

⟨adh⟩ is used in Irish to write the sound /əi̯/, or in Donegal, /eː/, between broad consonants, or an unstressed /ə/ at the end of a word.

⟨aei⟩ is used in Irish to write the sound /eː/ between a broad and a slender consonant.

⟨agh⟩ is used in Irish to write the sound /əi̯/, or in Donegal, /eː/, between broad consonants.

⟨aim⟩ is used in French to write the sound /ɛ̃/ (/ɛm/ before a vowel).

⟨ain⟩ is used in French to write the sound /ɛ̃/ (/ɛn/ before a vowel). It also represents /ɛ̃/ in Tibetan Pinyin, where it is alternatively written än.

⟨aío⟩ is used in Irish to write the sound /iː/ between broad consonants.