What is (\partial)/(\partial y)(x^2yz) ?

The answer to (\partial)/(\partial y)(x^2yz) is x^2z

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(\partial)/(\partial y)(x^2yz)

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

x^{2} z

Solution steps

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

Treat

x, z

as constants

Take the constant out:

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

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

Apply the common derivative:

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

= x^{2} z \cdot 1

Simplify

= x^{2} z

What is (\partial)/(\partial y)(x^2yz) ?
The answer to (\partial)/(\partial y)(x^2yz) is x^2z