What is (\partial)/(\partial s)(rse^t) ?

The answer to (\partial)/(\partial s)(rse^t) is e^tr

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(\partial)/(\partial s)(rse^t)

\frac{\partial}{\partial s} (rs e^{t})

e^{t} r

Solution steps

\frac{\partial}{\partial s} (rs e^{t})

Treat

r, t

as constants

Take the constant out:

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

= r e^{t} \frac{\partial}{\partial s} (s)

Apply the common derivative:

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

= r e^{t} \cdot 1

Simplify

= e^{t} r

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What is (\partial)/(\partial s)(rse^t) ?
The answer to (\partial)/(\partial s)(rse^t) is e^tr