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PelageaM
@PelageaM
July 2022
2
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Помогите пожалуйста, найдите значения x, при которых значение производной функции f(x) равно 0, если f(x)=-1/2x+cos(x-П/6)
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paradiseva
Verified answer
F'(x) = -1/2 - sin(x-Pi/6)
-1/2 - sin(x-Pi/6) = 0
- sin(x-Pi/6) = 1/2
sin(x-Pi/6) = -1/2
x-Pi/6 = (-1)^(k+1)pi/6 + pi*k, k прин Z
x = (-1)^(k+1)pi/6 + pi/6 + pi*k, k прин Z
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HEYGAIS
Держи решение!) Не очень уверена, что правильно, но всё же)
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Answers & Comments
Verified answer
F'(x) = -1/2 - sin(x-Pi/6)-1/2 - sin(x-Pi/6) = 0
- sin(x-Pi/6) = 1/2
sin(x-Pi/6) = -1/2
x-Pi/6 = (-1)^(k+1)pi/6 + pi*k, k прин Z
x = (-1)^(k+1)pi/6 + pi/6 + pi*k, k прин Z