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geramendiev
@geramendiev
July 2022
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Срочно помогите! f(x)=x^3-7,5x^2+18x+ корень из 3 cos П/6 + корень из (3+cos^2x+sin^2x). Найдите f'(x)-?
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Farina53
= 3X^2 - 15X + 18 + 0 + 1/2(3+cos^2x+sin^2x)^(-1/2)*(3+cos^2x+sin^2x)( штрих-производная) = 3X^2 - 15X + 18 + 1/2(3+cos^2x+sin^2x)^(-1/2)*(0 -2Sin 2x + 2 Cos2x) = 3X^2 - 15X + 18 + (Cos2x - Sin2x)/ (3+cos^2x+sin^2x)^(1/2)
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Answers & Comments
= 3X^2 - 15X + 18 + 0 + 1/2(3+cos^2x+sin^2x)^(-1/2)*(3+cos^2x+sin^2x)( штрих-производная) = 3X^2 - 15X + 18 + 1/2(3+cos^2x+sin^2x)^(-1/2)*(0 -2Sin 2x + 2 Cos2x) = 3X^2 - 15X + 18 + (Cos2x - Sin2x)/ (3+cos^2x+sin^2x)^(1/2)