Производная y=(-6x+4)^7

Производная
y=(-6x+4)^7
- Предмет:
  Алгебра
- Автор:
  aiden98
- 4 года назад

Ответы 1

Производная степенной функции вычисляется по формуле: $(x^n)' = nx^{n-1}$ Это первое. Второе, функция сложная, производная которой берётся так: $f(g(x))' = f'(g)*g'(x)$ В нашем случае: $g(x) = -6x + 4 \\ \\ f(g) = g^7$ А теперь непосредственно наша производная $y'= ((-6x+4)^7)' = 7*(-6x+4)^{7-1} * (-6x+4)' = \\ \\ = 7*(-6x+4)^{6} * (-6) = -42(-6x+4)^{6}$
- Автор:
  bethanyvega
- 4 года назад
- 0
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Производная y=(-6x+4)^7

Ответы 1

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Производная
y=(-6x+4)^7