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人気のある微分積分 >

(\partial)/(\partial y)(sin(3x-6y))

解

\frac{\partial}{\partial y} (sin (3 x - 6 y))

解

- 6 cos (3 x - 6 y)

解答ステップ

\frac{\partial}{\partial y} (sin (3 x - 6 y))

x

を定数として扱う

連鎖法則を適用:

cos (3 x - 6 y) \frac{\partial}{\partial y} (3 x - 6 y)

= cos (3 x - 6 y) \frac{\partial}{\partial y} (3 x - 6 y)

\frac{\partial}{\partial y} (3 x - 6 y) = - 6

= cos (3 x - 6 y) (- 6)

簡素化

= - 6 cos (3 x - 6 y)

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