What is (\partial)/(\partial t)(s-t) ?

The answer to (\partial)/(\partial t)(s-t) is -1

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(\partial)/(\partial t)(s-t)

\frac{\partial}{\partial t} (s - t)

- 1

Solution steps

\frac{\partial}{\partial t} (s - t)

Treat

s

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial t} (s) - \frac{\partial}{\partial t} (t)

\frac{\partial}{\partial t} (s) = 0

\frac{\partial}{\partial t} (t) = 1

= 0 - 1

Simplify

= - 1

What is (\partial)/(\partial t)(s-t) ?
The answer to (\partial)/(\partial t)(s-t) is -1