(\partial)/(\partial x)(sin(pi(4x-4y)))

解答

\frac{\partial}{\partial x} (sin (π (4 x - 4 y)))

cos (π (4 x - 4 y)) \cdot 4 π

求解步骤

\frac{\partial}{\partial x} (sin (π (4 x - 4 y)))

将

y

视为常数

使用连锁律:

cos (π (4 x - 4 y)) \frac{\partial}{\partial x} (π (4 x - 4 y))

= cos (π (4 x - 4 y)) \frac{\partial}{\partial x} (π (4 x - 4 y))

\frac{\partial}{\partial x} (π (4 x - 4 y)) = 4 π

= cos (π (4 x - 4 y)) \cdot 4 π

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