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spirit11
@spirit11
July 2022
1
6
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Найти производные:
а) F(x)= (4-x^2)*Sin x
б) F(x)= (2- корень из X)*tg x
в) F (x)=Sin3x+Cos5x
г) F(x) = (3-2x^3)^5
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rustam3010
A) f'(x) = (4 - x^2)' * sinx + (sinx)' * (14 - x^2) = -2xsinx + cosx(4 - x^2)
б) f'(x) = (2 -
)' * tgx + (tgx)' * (2 -
) = -
* tgx +
}{cos^{2}x} [/tex]
в) f'(x) = 3cos3x - 5sin5x
г) f'(x) = 5(3 - 2x^3)^4 * 6x^2 = 30x(3 - 2x^3)^4
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Answers & Comments
б) f'(x) = (2 -
в) f'(x) = 3cos3x - 5sin5x
г) f'(x) = 5(3 - 2x^3)^4 * 6x^2 = 30x(3 - 2x^3)^4