(\partial)/(\partial t)(x/t-2t)

解答

\frac{\partial}{\partial t} (\frac{x}{t} - 2 t)

- \frac{x}{t ^{2}} - 2

求解步骤

\frac{\partial}{\partial t} (\frac{x}{t} - 2 t)

将

x

视为常数

使用微分加减法定则:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{\partial}{\partial t} (\frac{x}{t}) - \frac{\partial}{\partial t} (2 t)

\frac{\partial}{\partial t} (\frac{x}{t}) = - \frac{x}{t ^{2}}

\frac{\partial}{\partial t} (2 t) = 2

= - \frac{x}{t ^{2}} - 2

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