What is (\partial)/(\partial t)(x/t-2t) ?

The answer to (\partial)/(\partial t)(x/t-2t) is -x/(t^2)-2

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

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

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

Solution steps

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

Treat

x

as a constant

Apply the Sum/Difference Rule:

(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

What is (\partial)/(\partial t)(x/t-2t) ?
The answer to (\partial)/(\partial t)(x/t-2t) is -x/(t^2)-2