Ответ:
k = 1.
Пошаговое объяснение:
Угловой коэффициент касательной k = f'(xo).
1. f(x)=3x² - 2x + 1, xo = 1/2.
f'(x) = (3x² - 2x + 1)' = 3•2x - 2 = 6x - 2.
2. k = f'(xo) = 6•1/2 - 2 = 3-2 = 1.
(1/3 - 5/8) * (- 6/7) = 1/4
1) 1/3 - 5/8 = 8/24 - 15/24 = - 7/24
2) - 7/24 * - 6/7 = 1/4
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(- 5/12 - 7/30) : 13/15 = - 3/4
1) - 5/12 - 7/30 = - 25/60 - 14/60 = - 39/60
2) - 39/60 : 13/15 = - 3/4
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( -3/4 - 1/6): (- 1 3/8) = 2/3
1) - 3/4 - 1/6 = - 9/12 - 2/12 = - 11/12
2) - 11/12 : - 11/8 = 2/3
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(1/4 - 5/18) * 36 = - 1
1) 1/4 - 5/18 = 9/36 - 10/36 = - 1/36
2) - 1/36 * 36 = - 1
185324+x=269955+92087
185324+x=362042
x=362042-185324
x=176718