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epovski
@epovski
July 2022
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Найти производную сложной функции
y=(x^2 - 15) sin3x (y=(x в квадрате - 15) sin умножить на 3х)
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nafanya2014
Verified answer
Применяем формулу производная произведения
(u·v)`=u`·v+u·v`
y`=(x² - 15)`· sin3x+(x²-15)·(sin3x)`=2x·sin3x+(x²-15)·cos3x·(3x)`=2x·sin3x+3(x²-15)·cos3x
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Answers & Comments
Verified answer
Применяем формулу производная произведения(u·v)`=u`·v+u·v`
y`=(x² - 15)`· sin3x+(x²-15)·(sin3x)`=2x·sin3x+(x²-15)·cos3x·(3x)`=2x·sin3x+3(x²-15)·cos3x