What is (\partial)/(\partial z)(xye^z) ?

The answer to (\partial)/(\partial z)(xye^z) is xye^z

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(\partial)/(\partial z)(xye^z)

\frac{\partial}{\partial z} (x y e^{z})

x y e^{z}

Solution steps

\frac{\partial}{\partial z} (x y e^{z})

Treat

x, y

as constants

Take the constant out:

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

= x y \frac{\partial}{\partial z} (e^{z})

Apply the common derivative:

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

= x y e^{z}

y = x^{3} - 3 x + 2, (2, 4)

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What is (\partial)/(\partial z)(xye^z) ?
The answer to (\partial)/(\partial z)(xye^z) is xye^z