What is (\partial)/(\partial s)(re^s) ?

The answer to (\partial)/(\partial s)(re^s) is re^s

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(\partial)/(\partial s)(re^s)

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

r e^{s}

Solution steps

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

Treat

r

as a constant

Take the constant out:

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

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

Apply the common derivative:

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

= r e^{s}

What is (\partial)/(\partial s)(re^s) ?
The answer to (\partial)/(\partial s)(re^s) is re^s