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

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

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(\partial)/(\partial x)(z^2xy)

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

z^{2} y

Solution steps

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

Treat

z, y

as constants

Take the constant out:

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

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

Apply the common derivative:

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

= z^{2} y \cdot 1

Simplify

= z^{2} y

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