What is (\partial)/(\partial w)(xe^w) ?

The answer to (\partial)/(\partial w)(xe^w) is xe^w

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(\partial)/(\partial w)(xe^w)

\frac{\partial}{\partial w} (x e^{w})

x e^{w}

Solution steps

\frac{\partial}{\partial w} (x e^{w})

Treat

x

as a constant

Take the constant out:

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

= x \frac{\partial}{\partial w} (e^{w})

Apply the common derivative:

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

= x e^{w}

What is (\partial)/(\partial w)(xe^w) ?
The answer to (\partial)/(\partial w)(xe^w) is xe^w