(\partial)/(\partial x)(tan(x)y)

解答

\frac{\partial}{\partial x} (tan (x) y)

y sec^{2} (x)

求解步骤

\frac{\partial}{\partial x} (tan (x) y)

将

y

视为常数

将常数提出:

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

= y \frac{\partial}{\partial x} (tan (x))

使用常见微分定则:

\frac{\partial}{\partial x} (tan (x)) = sec^{2} (x)

= y sec^{2} (x)

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