What is (\partial)/(\partial z)(x^2y^3z) ?

The answer to (\partial)/(\partial z)(x^2y^3z) is x^2y^3

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(\partial)/(\partial z)(x^2y^3z)

\frac{\partial}{\partial z} (x^{2} y^{3} z)

x^{2} y^{3}

Solution steps

\frac{\partial}{\partial z} (x^{2} y^{3} z)

Treat

x, y

as constants

Take the constant out:

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

= x^{2} y^{3} \frac{\partial}{\partial z} (z)

Apply the common derivative:

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

= x^{2} y^{3} \cdot 1

Simplify

= x^{2} y^{3}

What is (\partial)/(\partial z)(x^2y^3z) ?
The answer to (\partial)/(\partial z)(x^2y^3z) is x^2y^3