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O valor máximo da função y = x² +5x-6 é:?
O valor máximo da função y = x² +5x-6 é:
a) 5 ⁄ 2
b) 2
c) 1⁄ 4
d) – 2
2 Answers
Rating
- Maria DescartesLv 71 decade agoFavorite Answer
Veja:
y = x² +5x-6
y'= 2x+5
2x+5=0
2x=-5
x=-5/2
f(-5/2)=(-5/2)² +5.(-5/2)-6
f(-5/2)=25/4 -25/2-6
f(-5/2)=(25-50-24)/4
f(-5/2)=-49/4
Ponto de máximo:
(-5/2;-49/4)
valor máximo :-49/4
- jose SohLv 71 decade ago
x = -b/2a
x = -5/2 = -2,5
F(2,5) = 2,5² + 5x2,5 -6 = 6,25 + 12,5 -6 = 12,75
nenhuma das alternativas
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