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bazuka73
@bazuka73
July 2022
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Найти производную функции
1) y = x^5x
2) y = tgx / корень x
3) y = x^2 * cosx
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nKrynka
Решение
Найти производную функции
1) y = x⁵x = x⁶
y` = 6x
⁵
2) y = tgx /
√
x
y` = [(1/cos
²x) * (√x) - (1/2√x) * (tgx)] / (√x)² = [(√x / cos²x) - (tgx / 2√x)] / x 3) y = x²
* cosx
y` = 2x * cosx - x² * sinx
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Answers & Comments
Найти производную функции
1) y = x⁵x = x⁶
y` = 6x⁵
2) y = tgx / √x
y` = [(1/cos²x) * (√x) - (1/2√x) * (tgx)] / (√x)² = [(√x / cos²x) - (tgx / 2√x)] / x 3) y = x² * cosx
y` = 2x * cosx - x² * sinx