Экстремумы функций
Authored by maukeevaa apple_user
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10th Grade
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15 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Найдите максимум функции f(x) = 3x^2 - 12x + 5.
4
10
2
6
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Найдите минимум функции g(x) = x^3 - 6x^2 + 9x.
Minimum of the function g(x) = x^3 - 6x^2 + 9x is x = -2
Minimum of the function g(x) = x^3 - 6x^2 + 9x is x = 0
Minimum of the function g(x) = x^3 - 6x^2 + 9x is x = 1.5
Minimum of the function g(x) = x^3 - 6x^2 + 9x is x = 3
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
С помощью производной определите, является ли точка x=2 локальным минимумом функции h(x) = x^4 - 8x^2 + 16.
No, x=2 is not a critical point of the function h(x) = x^4 - 8x^2 + 16.
Yes, x=2 is a saddle point of the function h(x) = x^4 - 8x^2 + 16.
No, x=2 is a local maximum of the function h(x) = x^4 - 8x^2 + 16.
Yes, x=2 is a local minimum of the function h(x) = x^4 - 8x^2 + 16.
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
С помощью производной определите, является ли точка x=1 локальным максимумом функции k(x) = 2x^3 - 9x^2 + 12x - 4.
No, x=1 is a local minimum of the function k(x)
Yes, x=1 is a point of inflection for the function k(x)
No, x=1 is not a local maximum of the function k(x)
Yes, x=1 is a local maximum of the function k(x)
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Найдите максимум функции l(x) = 4x^3 - 12x^2 + 6x - 2.
The maximum of the function l(x) = 4x^3 - 12x^2 + 6x - 2 is at x = 0
The maximum of the function l(x) = 4x^3 - 12x^2 + 6x - 2 is at x = -1
The maximum of the function l(x) = 4x^3 - 12x^2 + 6x - 2 is at x = 2
The maximum of the function l(x) = 4x^3 - 12x^2 + 6x - 2 is at x = 1/2.
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Найдите минимум функции m(x) = x^4 - 4x^3 + 6x^2 - 4x + 1.
2
3
5
1
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
С помощью производной определите, является ли точка x=3 локальным минимумом функции n(x) = x^3 - 9x^2 + 24x - 20.
The point x=3 is a local minimum of the function n(x) = x^3 - 9x^2 + 24x - 20.
The point x=3 is a saddle point of the function n(x) = x^3 - 9x^2 + 24x - 20.
The point x=3 is a local maximum of the function n(x) = x^3 - 9x^2 + 24x - 20.
The function n(x) = x^3 - 9x^2 + 24x - 20 has no local extrema at x=3.
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