(\partial)/(\partial α)(sin(α)cos(β))

解答

\frac{\partial}{\partial α} (sin (α) cos (β))

cos (β) cos (α)

求解步骤

\frac{\partial}{\partial α} (sin (α) cos (β))

将

β

视为常数

将常数提出:

(a \cdot f)^{'} = a \cdot f^{'}

= cos (β) \frac{\partial}{\partial α} (sin (α))

使用常见微分定则:

\frac{\partial}{\partial α} (sin (α)) = cos (α)

= cos (β) cos (α)

\frac{d}{d y} (\frac{x}{x + y})

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