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keizdub
@keizdub
July 2022
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ln(x+3)^7-7x-9 найдите максимум
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sharadi
Verified answer
Y =
Ln(x+3)^7-7x-9 = 7ln(x +3) - 7x - 9
y' = 7/(x +3) -7
7/(x +3) -7 = 0
7/(x +3) = 7
1/(х +3) = 1
х +3 = 1
х = -2
-∞ -3 -2 +∞
- + -
х = -3 - это точка разрыва
х = -2 - это точка максимума
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Answers & Comments
Verified answer
Y = Ln(x+3)^7-7x-9 = 7ln(x +3) - 7x - 9y' = 7/(x +3) -7
7/(x +3) -7 = 0
7/(x +3) = 7
1/(х +3) = 1
х +3 = 1
х = -2
-∞ -3 -2 +∞
- + -
х = -3 - это точка разрыва
х = -2 - это точка максимума