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Найти произвожную и прировнять к 01) 6X+8=0 => 6x=-8 => x=-8/62) 3x+4=0 => 3x=-4 => x=-4/33) -12x+13=0 => -12x=-13 => x= 13/124) -x-4=0 => -x=4 =>x=-4
a) f(x) = 3x² + 8x +2
(3x² + 8x + 2)' = 0
6x + 8 = 0
6x = -8
x = -8/6 = -4/3 = -1 целых 1/3
b) f(x) = -6x² + 13x - 1
( -6x² + 13x - 1)' = 0
-12x + 13 = 0
-12x = -13
12x = 13
x = 13/12 = 1 ц 1/12
с) ) f(x) = 3/2x² + 4x - 1
( 3/2x² + 4x - 1)' = 0
3x + 4 = 0
3x = -4
x = -4/3 = 1 ц 1/3
d) f(x) = -0.5x² - 4x + 0.1
(-1/2x² - 4x + 0.1)' = 0
-x -4 = 0
-x = 4
x = -4
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Answers & Comments
Найти произвожную и прировнять к 0
1) 6X+8=0 => 6x=-8 => x=-8/6
2) 3x+4=0 => 3x=-4 => x=-4/3
3) -12x+13=0 => -12x=-13 => x= 13/12
4) -x-4=0 => -x=4 =>x=-4
a) f(x) = 3x² + 8x +2
(3x² + 8x + 2)' = 0
6x + 8 = 0
6x = -8
x = -8/6 = -4/3 = -1 целых 1/3
b) f(x) = -6x² + 13x - 1
( -6x² + 13x - 1)' = 0
-12x + 13 = 0
-12x = -13
12x = 13
x = 13/12 = 1 ц 1/12
с) ) f(x) = 3/2x² + 4x - 1
( 3/2x² + 4x - 1)' = 0
3x + 4 = 0
3x = -4
x = -4/3 = 1 ц 1/3
d) f(x) = -0.5x² - 4x + 0.1
(-1/2x² - 4x + 0.1)' = 0
-x -4 = 0
-x = 4
x = -4