What is (\partial)/(\partial y)(xe^{2yz}) ?

The answer to (\partial)/(\partial y)(xe^{2yz}) is xe^{2yz}*2z

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(\partial)/(\partial y)(xe^{2yz})

\frac{\partial}{\partial y} (x e^{2 yz})

x e^{2 yz} \cdot 2 z

Solution steps

\frac{\partial}{\partial y} (x e^{2 yz})

Treat

x, z

as constants

Take the constant out:

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

= x \frac{\partial}{\partial y} (e^{2 yz})

Apply the chain rule:

e^{2 yz} \frac{\partial}{\partial y} (2 yz)

= e^{2 yz} \frac{\partial}{\partial y} (2 yz)

\frac{\partial}{\partial y} (2 yz) = 2 z

= x e^{2 yz} \cdot 2 z

What is (\partial)/(\partial y)(xe^{2yz}) ?
The answer to (\partial)/(\partial y)(xe^{2yz}) is xe^{2yz}*2z